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Simplifying 2(4 + -5x) + 3(x + -2) = 12 + -3(x + 1) (4 * 2 + -5x * 2) + 3(x + -2) = 12 + -3(x + 1) (8 + -10x) + 3(x + -2) = 12 + -3(x + 1) Reorder the terms: 8 + -10x + 3(-2 + x) = 12 + -3(x + 1) 8 + -10x + (-2 * 3 + x * 3) = 12 + -3(x + 1) 8 + -10x + (-6 + 3x) = 12 + -3(x + 1) Reorder the terms: 8 + -6 + -10x + 3x = 12 + -3(x + 1) Combine like terms: 8 + -6 = 2 2 + -10x + 3x = 12 + -3(x + 1) Combine like terms: -10x + 3x = -7x 2 + -7x = 12 + -3(x + 1) Reorder the terms: 2 + -7x = 12 + -3(1 + x) 2 + -7x = 12 + (1 * -3 + x * -3) 2 + -7x = 12 + (-3 + -3x) Combine like terms: 12 + -3 = 9 2 + -7x = 9 + -3x Solving 2 + -7x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 2 + -7x + 3x = 9 + -3x + 3x Combine like terms: -7x + 3x = -4x 2 + -4x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + -4x = 9 + 0 2 + -4x = 9 Add '-2' to each side of the equation. 2 + -2 + -4x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = 9 + -2 -4x = 9 + -2 Combine like terms: 9 + -2 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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