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Simplifying 3(2x + -1) + -4(3x + -2) = -5x + 10 Reorder the terms: 3(-1 + 2x) + -4(3x + -2) = -5x + 10 (-1 * 3 + 2x * 3) + -4(3x + -2) = -5x + 10 (-3 + 6x) + -4(3x + -2) = -5x + 10 Reorder the terms: -3 + 6x + -4(-2 + 3x) = -5x + 10 -3 + 6x + (-2 * -4 + 3x * -4) = -5x + 10 -3 + 6x + (8 + -12x) = -5x + 10 Reorder the terms: -3 + 8 + 6x + -12x = -5x + 10 Combine like terms: -3 + 8 = 5 5 + 6x + -12x = -5x + 10 Combine like terms: 6x + -12x = -6x 5 + -6x = -5x + 10 Reorder the terms: 5 + -6x = 10 + -5x Solving 5 + -6x = 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. 5 + -6x + 5x = 10 + -5x + 5x Combine like terms: -6x + 5x = -1x 5 + -1x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + -1x = 10 + 0 5 + -1x = 10 Add '-5' to each side of the equation. 5 + -5 + -1x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 10 + -5 -1x = 10 + -5 Combine like terms: 10 + -5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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