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Simplifying 3x + -2(x + 1) = 3(x + -4) Reorder the terms: 3x + -2(1 + x) = 3(x + -4) 3x + (1 * -2 + x * -2) = 3(x + -4) 3x + (-2 + -2x) = 3(x + -4) Reorder the terms: -2 + 3x + -2x = 3(x + -4) Combine like terms: 3x + -2x = 1x -2 + 1x = 3(x + -4) Reorder the terms: -2 + 1x = 3(-4 + x) -2 + 1x = (-4 * 3 + x * 3) -2 + 1x = (-12 + 3x) Solving -2 + 1x = -12 + 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. -2 + 1x + -3x = -12 + 3x + -3x Combine like terms: 1x + -3x = -2x -2 + -2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -2x = -12 + 0 -2 + -2x = -12 Add '2' to each side of the equation. -2 + 2 + -2x = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -12 + 2 -2x = -12 + 2 Combine like terms: -12 + 2 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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