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Simplifying 3(x + -4) = 2(x + -7) + 7 Reorder the terms: 3(-4 + x) = 2(x + -7) + 7 (-4 * 3 + x * 3) = 2(x + -7) + 7 (-12 + 3x) = 2(x + -7) + 7 Reorder the terms: -12 + 3x = 2(-7 + x) + 7 -12 + 3x = (-7 * 2 + x * 2) + 7 -12 + 3x = (-14 + 2x) + 7 Reorder the terms: -12 + 3x = -14 + 7 + 2x Combine like terms: -14 + 7 = -7 -12 + 3x = -7 + 2x Solving -12 + 3x = -7 + 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. -12 + 3x + -2x = -7 + 2x + -2x Combine like terms: 3x + -2x = 1x -12 + 1x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 1x = -7 + 0 -12 + 1x = -7 Add '12' to each side of the equation. -12 + 12 + 1x = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -7 + 12 1x = -7 + 12 Combine like terms: -7 + 12 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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