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Simplifying 5(x + 1) + -3(2x + 1) = 4(5 + -1x) Reorder the terms: 5(1 + x) + -3(2x + 1) = 4(5 + -1x) (1 * 5 + x * 5) + -3(2x + 1) = 4(5 + -1x) (5 + 5x) + -3(2x + 1) = 4(5 + -1x) Reorder the terms: 5 + 5x + -3(1 + 2x) = 4(5 + -1x) 5 + 5x + (1 * -3 + 2x * -3) = 4(5 + -1x) 5 + 5x + (-3 + -6x) = 4(5 + -1x) Reorder the terms: 5 + -3 + 5x + -6x = 4(5 + -1x) Combine like terms: 5 + -3 = 2 2 + 5x + -6x = 4(5 + -1x) Combine like terms: 5x + -6x = -1x 2 + -1x = 4(5 + -1x) 2 + -1x = (5 * 4 + -1x * 4) 2 + -1x = (20 + -4x) Solving 2 + -1x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -1x + 4x = 20 + -4x + 4x Combine like terms: -1x + 4x = 3x 2 + 3x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 3x = 20 + 0 2 + 3x = 20 Add '-2' to each side of the equation. 2 + -2 + 3x = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 20 + -2 3x = 20 + -2 Combine like terms: 20 + -2 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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