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Simplifying (x + -2) + -4(x + -3) = x + 3 + -3(x + -4) Reorder the terms: (-2 + x) + -4(x + -3) = x + 3 + -3(x + -4) Remove parenthesis around (-2 + x) -2 + x + -4(x + -3) = x + 3 + -3(x + -4) Reorder the terms: -2 + x + -4(-3 + x) = x + 3 + -3(x + -4) -2 + x + (-3 * -4 + x * -4) = x + 3 + -3(x + -4) -2 + x + (12 + -4x) = x + 3 + -3(x + -4) Reorder the terms: -2 + 12 + x + -4x = x + 3 + -3(x + -4) Combine like terms: -2 + 12 = 10 10 + x + -4x = x + 3 + -3(x + -4) Combine like terms: x + -4x = -3x 10 + -3x = x + 3 + -3(x + -4) Reorder the terms: 10 + -3x = x + 3 + -3(-4 + x) 10 + -3x = x + 3 + (-4 * -3 + x * -3) 10 + -3x = x + 3 + (12 + -3x) Reorder the terms: 10 + -3x = 3 + 12 + x + -3x Combine like terms: 3 + 12 = 15 10 + -3x = 15 + x + -3x Combine like terms: x + -3x = -2x 10 + -3x = 15 + -2x Solving 10 + -3x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 10 + -3x + 2x = 15 + -2x + 2x Combine like terms: -3x + 2x = -1x 10 + -1x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + -1x = 15 + 0 10 + -1x = 15 Add '-10' to each side of the equation. 10 + -10 + -1x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 15 + -10 -1x = 15 + -10 Combine like terms: 15 + -10 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5
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