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Simplifying 5(x + 3) + -9 = -3(x + -2) + -6 Reorder the terms: 5(3 + x) + -9 = -3(x + -2) + -6 (3 * 5 + x * 5) + -9 = -3(x + -2) + -6 (15 + 5x) + -9 = -3(x + -2) + -6 Reorder the terms: 15 + -9 + 5x = -3(x + -2) + -6 Combine like terms: 15 + -9 = 6 6 + 5x = -3(x + -2) + -6 Reorder the terms: 6 + 5x = -3(-2 + x) + -6 6 + 5x = (-2 * -3 + x * -3) + -6 6 + 5x = (6 + -3x) + -6 Reorder the terms: 6 + 5x = 6 + -6 + -3x Combine like terms: 6 + -6 = 0 6 + 5x = 0 + -3x 6 + 5x = -3x Solving 6 + 5x = -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. 6 + 5x + 3x = -3x + 3x Combine like terms: 5x + 3x = 8x 6 + 8x = -3x + 3x Combine like terms: -3x + 3x = 0 6 + 8x = 0 Add '-6' to each side of the equation. 6 + -6 + 8x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = 0 + -6 8x = 0 + -6 Combine like terms: 0 + -6 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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