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Simplifying 4(-6x + 3) = 3(-10 + 2x) Reorder the terms: 4(3 + -6x) = 3(-10 + 2x) (3 * 4 + -6x * 4) = 3(-10 + 2x) (12 + -24x) = 3(-10 + 2x) 12 + -24x = (-10 * 3 + 2x * 3) 12 + -24x = (-30 + 6x) Solving 12 + -24x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + -24x + -6x = -30 + 6x + -6x Combine like terms: -24x + -6x = -30x 12 + -30x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -30x = -30 + 0 12 + -30x = -30 Add '-12' to each side of the equation. 12 + -12 + -30x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -30x = -30 + -12 -30x = -30 + -12 Combine like terms: -30 + -12 = -42 -30x = -42 Divide each side by '-30'. x = 1.4 Simplifying x = 1.4
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