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Simplifying 8(x + -3) + -2(x + 3) = 5(x + -4) Reorder the terms: 8(-3 + x) + -2(x + 3) = 5(x + -4) (-3 * 8 + x * 8) + -2(x + 3) = 5(x + -4) (-24 + 8x) + -2(x + 3) = 5(x + -4) Reorder the terms: -24 + 8x + -2(3 + x) = 5(x + -4) -24 + 8x + (3 * -2 + x * -2) = 5(x + -4) -24 + 8x + (-6 + -2x) = 5(x + -4) Reorder the terms: -24 + -6 + 8x + -2x = 5(x + -4) Combine like terms: -24 + -6 = -30 -30 + 8x + -2x = 5(x + -4) Combine like terms: 8x + -2x = 6x -30 + 6x = 5(x + -4) Reorder the terms: -30 + 6x = 5(-4 + x) -30 + 6x = (-4 * 5 + x * 5) -30 + 6x = (-20 + 5x) Solving -30 + 6x = -20 + 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. -30 + 6x + -5x = -20 + 5x + -5x Combine like terms: 6x + -5x = 1x -30 + 1x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -30 + 1x = -20 + 0 -30 + 1x = -20 Add '30' to each side of the equation. -30 + 30 + 1x = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 1x = -20 + 30 1x = -20 + 30 Combine like terms: -20 + 30 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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