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Simplifying 4[x + -3] + -2[2 + -2x] = 4 + -7x + 5 Reorder the terms: 4[-3 + x] + -2[2 + -2x] = 4 + -7x + 5 [-3 * 4 + x * 4] + -2[2 + -2x] = 4 + -7x + 5 [-12 + 4x] + -2[2 + -2x] = 4 + -7x + 5 -12 + 4x + [2 * -2 + -2x * -2] = 4 + -7x + 5 -12 + 4x + [-4 + 4x] = 4 + -7x + 5 Reorder the terms: -12 + -4 + 4x + 4x = 4 + -7x + 5 Combine like terms: -12 + -4 = -16 -16 + 4x + 4x = 4 + -7x + 5 Combine like terms: 4x + 4x = 8x -16 + 8x = 4 + -7x + 5 Reorder the terms: -16 + 8x = 4 + 5 + -7x Combine like terms: 4 + 5 = 9 -16 + 8x = 9 + -7x Solving -16 + 8x = 9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -16 + 8x + 7x = 9 + -7x + 7x Combine like terms: 8x + 7x = 15x -16 + 15x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 -16 + 15x = 9 + 0 -16 + 15x = 9 Add '16' to each side of the equation. -16 + 16 + 15x = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 15x = 9 + 16 15x = 9 + 16 Combine like terms: 9 + 16 = 25 15x = 25 Divide each side by '15'. x = 1.666666667 Simplifying x = 1.666666667
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