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Simplifying 4x + -3(x + 5) = 2x + 5(-6 + -1x) Reorder the terms: 4x + -3(5 + x) = 2x + 5(-6 + -1x) 4x + (5 * -3 + x * -3) = 2x + 5(-6 + -1x) 4x + (-15 + -3x) = 2x + 5(-6 + -1x) Reorder the terms: -15 + 4x + -3x = 2x + 5(-6 + -1x) Combine like terms: 4x + -3x = 1x -15 + 1x = 2x + 5(-6 + -1x) -15 + 1x = 2x + (-6 * 5 + -1x * 5) -15 + 1x = 2x + (-30 + -5x) Reorder the terms: -15 + 1x = -30 + 2x + -5x Combine like terms: 2x + -5x = -3x -15 + 1x = -30 + -3x Solving -15 + 1x = -30 + -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. -15 + 1x + 3x = -30 + -3x + 3x Combine like terms: 1x + 3x = 4x -15 + 4x = -30 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 4x = -30 + 0 -15 + 4x = -30 Add '15' to each side of the equation. -15 + 15 + 4x = -30 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = -30 + 15 4x = -30 + 15 Combine like terms: -30 + 15 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75
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