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Simplifying -3(2x + -4) + 4(-3x + 2) = 5x + 10 Reorder the terms: -3(-4 + 2x) + 4(-3x + 2) = 5x + 10 (-4 * -3 + 2x * -3) + 4(-3x + 2) = 5x + 10 (12 + -6x) + 4(-3x + 2) = 5x + 10 Reorder the terms: 12 + -6x + 4(2 + -3x) = 5x + 10 12 + -6x + (2 * 4 + -3x * 4) = 5x + 10 12 + -6x + (8 + -12x) = 5x + 10 Reorder the terms: 12 + 8 + -6x + -12x = 5x + 10 Combine like terms: 12 + 8 = 20 20 + -6x + -12x = 5x + 10 Combine like terms: -6x + -12x = -18x 20 + -18x = 5x + 10 Reorder the terms: 20 + -18x = 10 + 5x Solving 20 + -18x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + -18x + -5x = 10 + 5x + -5x Combine like terms: -18x + -5x = -23x 20 + -23x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -23x = 10 + 0 20 + -23x = 10 Add '-20' to each side of the equation. 20 + -20 + -23x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -23x = 10 + -20 -23x = 10 + -20 Combine like terms: 10 + -20 = -10 -23x = -10 Divide each side by '-23'. x = 0.4347826087 Simplifying x = 0.4347826087
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