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Simplifying -5(x + 1) = 3(4x + -6) Reorder the terms: -5(1 + x) = 3(4x + -6) (1 * -5 + x * -5) = 3(4x + -6) (-5 + -5x) = 3(4x + -6) Reorder the terms: -5 + -5x = 3(-6 + 4x) -5 + -5x = (-6 * 3 + 4x * 3) -5 + -5x = (-18 + 12x) Solving -5 + -5x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + -5x + -12x = -18 + 12x + -12x Combine like terms: -5x + -12x = -17x -5 + -17x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -17x = -18 + 0 -5 + -17x = -18 Add '5' to each side of the equation. -5 + 5 + -17x = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -17x = -18 + 5 -17x = -18 + 5 Combine like terms: -18 + 5 = -13 -17x = -13 Divide each side by '-17'. x = 0.7647058824 Simplifying x = 0.7647058824
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