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Simplifying 4(4x + 1) + -7 = 3[7x + -3 + -2(x + -2)] + 4(2x + -5) Reorder the terms: 4(1 + 4x) + -7 = 3[7x + -3 + -2(x + -2)] + 4(2x + -5) (1 * 4 + 4x * 4) + -7 = 3[7x + -3 + -2(x + -2)] + 4(2x + -5) (4 + 16x) + -7 = 3[7x + -3 + -2(x + -2)] + 4(2x + -5) Reorder the terms: 4 + -7 + 16x = 3[7x + -3 + -2(x + -2)] + 4(2x + -5) Combine like terms: 4 + -7 = -3 -3 + 16x = 3[7x + -3 + -2(x + -2)] + 4(2x + -5) Reorder the terms: -3 + 16x = 3[7x + -3 + -2(-2 + x)] + 4(2x + -5) -3 + 16x = 3[7x + -3 + (-2 * -2 + x * -2)] + 4(2x + -5) -3 + 16x = 3[7x + -3 + (4 + -2x)] + 4(2x + -5) Reorder the terms: -3 + 16x = 3[-3 + 4 + 7x + -2x] + 4(2x + -5) Combine like terms: -3 + 4 = 1 -3 + 16x = 3[1 + 7x + -2x] + 4(2x + -5) Combine like terms: 7x + -2x = 5x -3 + 16x = 3[1 + 5x] + 4(2x + -5) -3 + 16x = [1 * 3 + 5x * 3] + 4(2x + -5) -3 + 16x = [3 + 15x] + 4(2x + -5) Reorder the terms: -3 + 16x = 3 + 15x + 4(-5 + 2x) -3 + 16x = 3 + 15x + (-5 * 4 + 2x * 4) -3 + 16x = 3 + 15x + (-20 + 8x) Reorder the terms: -3 + 16x = 3 + -20 + 15x + 8x Combine like terms: 3 + -20 = -17 -3 + 16x = -17 + 15x + 8x Combine like terms: 15x + 8x = 23x -3 + 16x = -17 + 23x Solving -3 + 16x = -17 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -3 + 16x + -23x = -17 + 23x + -23x Combine like terms: 16x + -23x = -7x -3 + -7x = -17 + 23x + -23x Combine like terms: 23x + -23x = 0 -3 + -7x = -17 + 0 -3 + -7x = -17 Add '3' to each side of the equation. -3 + 3 + -7x = -17 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = -17 + 3 -7x = -17 + 3 Combine like terms: -17 + 3 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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