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Simplifying 3(x + -5) = 5x + -4(3 + -1x) Reorder the terms: 3(-5 + x) = 5x + -4(3 + -1x) (-5 * 3 + x * 3) = 5x + -4(3 + -1x) (-15 + 3x) = 5x + -4(3 + -1x) -15 + 3x = 5x + (3 * -4 + -1x * -4) -15 + 3x = 5x + (-12 + 4x) Reorder the terms: -15 + 3x = -12 + 5x + 4x Combine like terms: 5x + 4x = 9x -15 + 3x = -12 + 9x Solving -15 + 3x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -15 + 3x + -9x = -12 + 9x + -9x Combine like terms: 3x + -9x = -6x -15 + -6x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -6x = -12 + 0 -15 + -6x = -12 Add '15' to each side of the equation. -15 + 15 + -6x = -12 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = -12 + 15 -6x = -12 + 15 Combine like terms: -12 + 15 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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