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Simplifying -3(4 + 1) + 6x = 4(2x + -6) Combine like terms: 4 + 1 = 5 -3(5) + 6x = 4(2x + -6) Multiply -3 * 5 -15 + 6x = 4(2x + -6) Reorder the terms: -15 + 6x = 4(-6 + 2x) -15 + 6x = (-6 * 4 + 2x * 4) -15 + 6x = (-24 + 8x) Solving -15 + 6x = -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. -15 + 6x + -8x = -24 + 8x + -8x Combine like terms: 6x + -8x = -2x -15 + -2x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -2x = -24 + 0 -15 + -2x = -24 Add '15' to each side of the equation. -15 + 15 + -2x = -24 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -24 + 15 -2x = -24 + 15 Combine like terms: -24 + 15 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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