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Simplifying 4(x + 2) + 3x = 3(x + -4) Reorder the terms: 4(2 + x) + 3x = 3(x + -4) (2 * 4 + x * 4) + 3x = 3(x + -4) (8 + 4x) + 3x = 3(x + -4) Combine like terms: 4x + 3x = 7x 8 + 7x = 3(x + -4) Reorder the terms: 8 + 7x = 3(-4 + x) 8 + 7x = (-4 * 3 + x * 3) 8 + 7x = (-12 + 3x) Solving 8 + 7x = -12 + 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. 8 + 7x + -3x = -12 + 3x + -3x Combine like terms: 7x + -3x = 4x 8 + 4x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 4x = -12 + 0 8 + 4x = -12 Add '-8' to each side of the equation. 8 + -8 + 4x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -12 + -8 4x = -12 + -8 Combine like terms: -12 + -8 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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