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Simplifying 4(6x + -2) = -3(-2x + -4) Reorder the terms: 4(-2 + 6x) = -3(-2x + -4) (-2 * 4 + 6x * 4) = -3(-2x + -4) (-8 + 24x) = -3(-2x + -4) Reorder the terms: -8 + 24x = -3(-4 + -2x) -8 + 24x = (-4 * -3 + -2x * -3) -8 + 24x = (12 + 6x) Solving -8 + 24x = 12 + 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. -8 + 24x + -6x = 12 + 6x + -6x Combine like terms: 24x + -6x = 18x -8 + 18x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 18x = 12 + 0 -8 + 18x = 12 Add '8' to each side of the equation. -8 + 8 + 18x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 18x = 12 + 8 18x = 12 + 8 Combine like terms: 12 + 8 = 20 18x = 20 Divide each side by '18'. x = 1.111111111 Simplifying x = 1.111111111
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