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Simplifying 4x + -8 + -3(x + -5) = 3(x + -1) Reorder the terms: 4x + -8 + -3(-5 + x) = 3(x + -1) 4x + -8 + (-5 * -3 + x * -3) = 3(x + -1) 4x + -8 + (15 + -3x) = 3(x + -1) Reorder the terms: -8 + 15 + 4x + -3x = 3(x + -1) Combine like terms: -8 + 15 = 7 7 + 4x + -3x = 3(x + -1) Combine like terms: 4x + -3x = 1x 7 + 1x = 3(x + -1) Reorder the terms: 7 + 1x = 3(-1 + x) 7 + 1x = (-1 * 3 + x * 3) 7 + 1x = (-3 + 3x) Solving 7 + 1x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 1x + -3x = -3 + 3x + -3x Combine like terms: 1x + -3x = -2x 7 + -2x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -2x = -3 + 0 7 + -2x = -3 Add '-7' to each side of the equation. 7 + -7 + -2x = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -3 + -7 -2x = -3 + -7 Combine like terms: -3 + -7 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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