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Simplifying 3(4x + -3) + -1(x + 7) = 5(10 + x) Reorder the terms: 3(-3 + 4x) + -1(x + 7) = 5(10 + x) (-3 * 3 + 4x * 3) + -1(x + 7) = 5(10 + x) (-9 + 12x) + -1(x + 7) = 5(10 + x) Reorder the terms: -9 + 12x + -1(7 + x) = 5(10 + x) -9 + 12x + (7 * -1 + x * -1) = 5(10 + x) -9 + 12x + (-7 + -1x) = 5(10 + x) Reorder the terms: -9 + -7 + 12x + -1x = 5(10 + x) Combine like terms: -9 + -7 = -16 -16 + 12x + -1x = 5(10 + x) Combine like terms: 12x + -1x = 11x -16 + 11x = 5(10 + x) -16 + 11x = (10 * 5 + x * 5) -16 + 11x = (50 + 5x) Solving -16 + 11x = 50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 11x + -5x = 50 + 5x + -5x Combine like terms: 11x + -5x = 6x -16 + 6x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 6x = 50 + 0 -16 + 6x = 50 Add '16' to each side of the equation. -16 + 16 + 6x = 50 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = 50 + 16 6x = 50 + 16 Combine like terms: 50 + 16 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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