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Simplifying 3(-5 + -3x) + -5(x + 3) = 3x + -2x (-5 * 3 + -3x * 3) + -5(x + 3) = 3x + -2x (-15 + -9x) + -5(x + 3) = 3x + -2x Reorder the terms: -15 + -9x + -5(3 + x) = 3x + -2x -15 + -9x + (3 * -5 + x * -5) = 3x + -2x -15 + -9x + (-15 + -5x) = 3x + -2x Reorder the terms: -15 + -15 + -9x + -5x = 3x + -2x Combine like terms: -15 + -15 = -30 -30 + -9x + -5x = 3x + -2x Combine like terms: -9x + -5x = -14x -30 + -14x = 3x + -2x Combine like terms: 3x + -2x = 1x -30 + -14x = 1x Solving -30 + -14x = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -30 + -14x + -1x = 1x + -1x Combine like terms: -14x + -1x = -15x -30 + -15x = 1x + -1x Combine like terms: 1x + -1x = 0 -30 + -15x = 0 Add '30' to each side of the equation. -30 + 30 + -15x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -15x = 0 + 30 -15x = 0 + 30 Combine like terms: 0 + 30 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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