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Simplifying 3(x + 5) + -4(2x + 3) = -5 + 9 Reorder the terms: 3(5 + x) + -4(2x + 3) = -5 + 9 (5 * 3 + x * 3) + -4(2x + 3) = -5 + 9 (15 + 3x) + -4(2x + 3) = -5 + 9 Reorder the terms: 15 + 3x + -4(3 + 2x) = -5 + 9 15 + 3x + (3 * -4 + 2x * -4) = -5 + 9 15 + 3x + (-12 + -8x) = -5 + 9 Reorder the terms: 15 + -12 + 3x + -8x = -5 + 9 Combine like terms: 15 + -12 = 3 3 + 3x + -8x = -5 + 9 Combine like terms: 3x + -8x = -5x 3 + -5x = -5 + 9 Combine like terms: -5 + 9 = 4 3 + -5x = 4 Solving 3 + -5x = 4 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 + -5x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 4 + -3 -5x = 4 + -3 Combine like terms: 4 + -3 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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