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Simplifying 2(x + 3) = 3(x + -4) + -5(x + -1) Reorder the terms: 2(3 + x) = 3(x + -4) + -5(x + -1) (3 * 2 + x * 2) = 3(x + -4) + -5(x + -1) (6 + 2x) = 3(x + -4) + -5(x + -1) Reorder the terms: 6 + 2x = 3(-4 + x) + -5(x + -1) 6 + 2x = (-4 * 3 + x * 3) + -5(x + -1) 6 + 2x = (-12 + 3x) + -5(x + -1) Reorder the terms: 6 + 2x = -12 + 3x + -5(-1 + x) 6 + 2x = -12 + 3x + (-1 * -5 + x * -5) 6 + 2x = -12 + 3x + (5 + -5x) Reorder the terms: 6 + 2x = -12 + 5 + 3x + -5x Combine like terms: -12 + 5 = -7 6 + 2x = -7 + 3x + -5x Combine like terms: 3x + -5x = -2x 6 + 2x = -7 + -2x Solving 6 + 2x = -7 + -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. 6 + 2x + 2x = -7 + -2x + 2x Combine like terms: 2x + 2x = 4x 6 + 4x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 4x = -7 + 0 6 + 4x = -7 Add '-6' to each side of the equation. 6 + -6 + 4x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -7 + -6 4x = -7 + -6 Combine like terms: -7 + -6 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25
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