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Simplifying -3(6x + 5) = -3x + 9 + -2(8 + x) Reorder the terms: -3(5 + 6x) = -3x + 9 + -2(8 + x) (5 * -3 + 6x * -3) = -3x + 9 + -2(8 + x) (-15 + -18x) = -3x + 9 + -2(8 + x) -15 + -18x = -3x + 9 + (8 * -2 + x * -2) -15 + -18x = -3x + 9 + (-16 + -2x) Reorder the terms: -15 + -18x = 9 + -16 + -3x + -2x Combine like terms: 9 + -16 = -7 -15 + -18x = -7 + -3x + -2x Combine like terms: -3x + -2x = -5x -15 + -18x = -7 + -5x Solving -15 + -18x = -7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -15 + -18x + 5x = -7 + -5x + 5x Combine like terms: -18x + 5x = -13x -15 + -13x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + -13x = -7 + 0 -15 + -13x = -7 Add '15' to each side of the equation. -15 + 15 + -13x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -13x = -7 + 15 -13x = -7 + 15 Combine like terms: -7 + 15 = 8 -13x = 8 Divide each side by '-13'. x = -0.6153846154 Simplifying x = -0.6153846154
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