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Simplifying 2 + -5(6x + -2) = 6(-4 + 3x) Reorder the terms: 2 + -5(-2 + 6x) = 6(-4 + 3x) 2 + (-2 * -5 + 6x * -5) = 6(-4 + 3x) 2 + (10 + -30x) = 6(-4 + 3x) Combine like terms: 2 + 10 = 12 12 + -30x = 6(-4 + 3x) 12 + -30x = (-4 * 6 + 3x * 6) 12 + -30x = (-24 + 18x) Solving 12 + -30x = -24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 12 + -30x + -18x = -24 + 18x + -18x Combine like terms: -30x + -18x = -48x 12 + -48x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 12 + -48x = -24 + 0 12 + -48x = -24 Add '-12' to each side of the equation. 12 + -12 + -48x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -48x = -24 + -12 -48x = -24 + -12 Combine like terms: -24 + -12 = -36 -48x = -36 Divide each side by '-48'. x = 0.75 Simplifying x = 0.75
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