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Simplifying 3(x + -4) + 9 = -2(x + 3) + -7 Reorder the terms: 3(-4 + x) + 9 = -2(x + 3) + -7 (-4 * 3 + x * 3) + 9 = -2(x + 3) + -7 (-12 + 3x) + 9 = -2(x + 3) + -7 Reorder the terms: -12 + 9 + 3x = -2(x + 3) + -7 Combine like terms: -12 + 9 = -3 -3 + 3x = -2(x + 3) + -7 Reorder the terms: -3 + 3x = -2(3 + x) + -7 -3 + 3x = (3 * -2 + x * -2) + -7 -3 + 3x = (-6 + -2x) + -7 Reorder the terms: -3 + 3x = -6 + -7 + -2x Combine like terms: -6 + -7 = -13 -3 + 3x = -13 + -2x Solving -3 + 3x = -13 + -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. -3 + 3x + 2x = -13 + -2x + 2x Combine like terms: 3x + 2x = 5x -3 + 5x = -13 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 5x = -13 + 0 -3 + 5x = -13 Add '3' to each side of the equation. -3 + 3 + 5x = -13 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = -13 + 3 5x = -13 + 3 Combine like terms: -13 + 3 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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