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Simplifying -3(x + 1) + 6x = 4(2x + -6) Reorder the terms: -3(1 + x) + 6x = 4(2x + -6) (1 * -3 + x * -3) + 6x = 4(2x + -6) (-3 + -3x) + 6x = 4(2x + -6) Combine like terms: -3x + 6x = 3x -3 + 3x = 4(2x + -6) Reorder the terms: -3 + 3x = 4(-6 + 2x) -3 + 3x = (-6 * 4 + 2x * 4) -3 + 3x = (-24 + 8x) Solving -3 + 3x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 3x + -8x = -24 + 8x + -8x Combine like terms: 3x + -8x = -5x -3 + -5x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -5x = -24 + 0 -3 + -5x = -24 Add '3' to each side of the equation. -3 + 3 + -5x = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -24 + 3 -5x = -24 + 3 Combine like terms: -24 + 3 = -21 -5x = -21 Divide each side by '-5'. x = 4.2 Simplifying x = 4.2
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