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Simplifying 5(x + 2) + -3(2x + 1) = 4(x + -1) Reorder the terms: 5(2 + x) + -3(2x + 1) = 4(x + -1) (2 * 5 + x * 5) + -3(2x + 1) = 4(x + -1) (10 + 5x) + -3(2x + 1) = 4(x + -1) Reorder the terms: 10 + 5x + -3(1 + 2x) = 4(x + -1) 10 + 5x + (1 * -3 + 2x * -3) = 4(x + -1) 10 + 5x + (-3 + -6x) = 4(x + -1) Reorder the terms: 10 + -3 + 5x + -6x = 4(x + -1) Combine like terms: 10 + -3 = 7 7 + 5x + -6x = 4(x + -1) Combine like terms: 5x + -6x = -1x 7 + -1x = 4(x + -1) Reorder the terms: 7 + -1x = 4(-1 + x) 7 + -1x = (-1 * 4 + x * 4) 7 + -1x = (-4 + 4x) Solving 7 + -1x = -4 + 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. 7 + -1x + -4x = -4 + 4x + -4x Combine like terms: -1x + -4x = -5x 7 + -5x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -5x = -4 + 0 7 + -5x = -4 Add '-7' to each side of the equation. 7 + -7 + -5x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = -4 + -7 -5x = -4 + -7 Combine like terms: -4 + -7 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2
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