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Simplifying 3(x + 2) = 4(x + -1) + 3(x + 4) Reorder the terms: 3(2 + x) = 4(x + -1) + 3(x + 4) (2 * 3 + x * 3) = 4(x + -1) + 3(x + 4) (6 + 3x) = 4(x + -1) + 3(x + 4) Reorder the terms: 6 + 3x = 4(-1 + x) + 3(x + 4) 6 + 3x = (-1 * 4 + x * 4) + 3(x + 4) 6 + 3x = (-4 + 4x) + 3(x + 4) Reorder the terms: 6 + 3x = -4 + 4x + 3(4 + x) 6 + 3x = -4 + 4x + (4 * 3 + x * 3) 6 + 3x = -4 + 4x + (12 + 3x) Reorder the terms: 6 + 3x = -4 + 12 + 4x + 3x Combine like terms: -4 + 12 = 8 6 + 3x = 8 + 4x + 3x Combine like terms: 4x + 3x = 7x 6 + 3x = 8 + 7x Solving 6 + 3x = 8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 3x + -7x = 8 + 7x + -7x Combine like terms: 3x + -7x = -4x 6 + -4x = 8 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -4x = 8 + 0 6 + -4x = 8 Add '-6' to each side of the equation. 6 + -6 + -4x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 8 + -6 -4x = 8 + -6 Combine like terms: 8 + -6 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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