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Simplifying 5 + 3(x + -4) = 2(x + -1) Reorder the terms: 5 + 3(-4 + x) = 2(x + -1) 5 + (-4 * 3 + x * 3) = 2(x + -1) 5 + (-12 + 3x) = 2(x + -1) Combine like terms: 5 + -12 = -7 -7 + 3x = 2(x + -1) Reorder the terms: -7 + 3x = 2(-1 + x) -7 + 3x = (-1 * 2 + x * 2) -7 + 3x = (-2 + 2x) Solving -7 + 3x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x -7 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 1x = -2 + 0 -7 + 1x = -2 Add '7' to each side of the equation. -7 + 7 + 1x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -2 + 7 1x = -2 + 7 Combine like terms: -2 + 7 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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