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Simplifying 6 + 5(2 + -1x) = -3(x + 4) 6 + (2 * 5 + -1x * 5) = -3(x + 4) 6 + (10 + -5x) = -3(x + 4) Combine like terms: 6 + 10 = 16 16 + -5x = -3(x + 4) Reorder the terms: 16 + -5x = -3(4 + x) 16 + -5x = (4 * -3 + x * -3) 16 + -5x = (-12 + -3x) Solving 16 + -5x = -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. 16 + -5x + 3x = -12 + -3x + 3x Combine like terms: -5x + 3x = -2x 16 + -2x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + -2x = -12 + 0 16 + -2x = -12 Add '-16' to each side of the equation. 16 + -16 + -2x = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = -12 + -16 -2x = -12 + -16 Combine like terms: -12 + -16 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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