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Simplifying 3(x + 4) = 6(x + -1) + 5(x + -2) Reorder the terms: 3(4 + x) = 6(x + -1) + 5(x + -2) (4 * 3 + x * 3) = 6(x + -1) + 5(x + -2) (12 + 3x) = 6(x + -1) + 5(x + -2) Reorder the terms: 12 + 3x = 6(-1 + x) + 5(x + -2) 12 + 3x = (-1 * 6 + x * 6) + 5(x + -2) 12 + 3x = (-6 + 6x) + 5(x + -2) Reorder the terms: 12 + 3x = -6 + 6x + 5(-2 + x) 12 + 3x = -6 + 6x + (-2 * 5 + x * 5) 12 + 3x = -6 + 6x + (-10 + 5x) Reorder the terms: 12 + 3x = -6 + -10 + 6x + 5x Combine like terms: -6 + -10 = -16 12 + 3x = -16 + 6x + 5x Combine like terms: 6x + 5x = 11x 12 + 3x = -16 + 11x Solving 12 + 3x = -16 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 12 + 3x + -11x = -16 + 11x + -11x Combine like terms: 3x + -11x = -8x 12 + -8x = -16 + 11x + -11x Combine like terms: 11x + -11x = 0 12 + -8x = -16 + 0 12 + -8x = -16 Add '-12' to each side of the equation. 12 + -12 + -8x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -16 + -12 -8x = -16 + -12 Combine like terms: -16 + -12 = -28 -8x = -28 Divide each side by '-8'. x = 3.5 Simplifying x = 3.5
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