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Simplifying -4(-5x + 6) + -2x = 6(x + -2) + -3 Reorder the terms: -4(6 + -5x) + -2x = 6(x + -2) + -3 (6 * -4 + -5x * -4) + -2x = 6(x + -2) + -3 (-24 + 20x) + -2x = 6(x + -2) + -3 Combine like terms: 20x + -2x = 18x -24 + 18x = 6(x + -2) + -3 Reorder the terms: -24 + 18x = 6(-2 + x) + -3 -24 + 18x = (-2 * 6 + x * 6) + -3 -24 + 18x = (-12 + 6x) + -3 Reorder the terms: -24 + 18x = -12 + -3 + 6x Combine like terms: -12 + -3 = -15 -24 + 18x = -15 + 6x Solving -24 + 18x = -15 + 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. -24 + 18x + -6x = -15 + 6x + -6x Combine like terms: 18x + -6x = 12x -24 + 12x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 12x = -15 + 0 -24 + 12x = -15 Add '24' to each side of the equation. -24 + 24 + 12x = -15 + 24 Combine like terms: -24 + 24 = 0 0 + 12x = -15 + 24 12x = -15 + 24 Combine like terms: -15 + 24 = 9 12x = 9 Divide each side by '12'. x = 0.75 Simplifying x = 0.75
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