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Simplifying 3(x + -4) + 5(x + 3) = -13 Reorder the terms: 3(-4 + x) + 5(x + 3) = -13 (-4 * 3 + x * 3) + 5(x + 3) = -13 (-12 + 3x) + 5(x + 3) = -13 Reorder the terms: -12 + 3x + 5(3 + x) = -13 -12 + 3x + (3 * 5 + x * 5) = -13 -12 + 3x + (15 + 5x) = -13 Reorder the terms: -12 + 15 + 3x + 5x = -13 Combine like terms: -12 + 15 = 3 3 + 3x + 5x = -13 Combine like terms: 3x + 5x = 8x 3 + 8x = -13 Solving 3 + 8x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8x = -13 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = -13 + -3 8x = -13 + -3 Combine like terms: -13 + -3 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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