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Simplifying -8(3 + x) + 3(3 + -1x) + -5 = -6x + -10(x + 2) (3 * -8 + x * -8) + 3(3 + -1x) + -5 = -6x + -10(x + 2) (-24 + -8x) + 3(3 + -1x) + -5 = -6x + -10(x + 2) -24 + -8x + (3 * 3 + -1x * 3) + -5 = -6x + -10(x + 2) -24 + -8x + (9 + -3x) + -5 = -6x + -10(x + 2) Reorder the terms: -24 + 9 + -5 + -8x + -3x = -6x + -10(x + 2) Combine like terms: -24 + 9 = -15 -15 + -5 + -8x + -3x = -6x + -10(x + 2) Combine like terms: -15 + -5 = -20 -20 + -8x + -3x = -6x + -10(x + 2) Combine like terms: -8x + -3x = -11x -20 + -11x = -6x + -10(x + 2) Reorder the terms: -20 + -11x = -6x + -10(2 + x) -20 + -11x = -6x + (2 * -10 + x * -10) -20 + -11x = -6x + (-20 + -10x) Reorder the terms: -20 + -11x = -20 + -6x + -10x Combine like terms: -6x + -10x = -16x -20 + -11x = -20 + -16x Add '20' to each side of the equation. -20 + 20 + -11x = -20 + 20 + -16x Combine like terms: -20 + 20 = 0 0 + -11x = -20 + 20 + -16x -11x = -20 + 20 + -16x Combine like terms: -20 + 20 = 0 -11x = 0 + -16x -11x = -16x Solving -11x = -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -11x + 16x = -16x + 16x Combine like terms: -11x + 16x = 5x 5x = -16x + 16x Combine like terms: -16x + 16x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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