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Simplifying 8(x + 5) + -1(4 + -3x) = 10x Reorder the terms: 8(5 + x) + -1(4 + -3x) = 10x (5 * 8 + x * 8) + -1(4 + -3x) = 10x (40 + 8x) + -1(4 + -3x) = 10x 40 + 8x + (4 * -1 + -3x * -1) = 10x 40 + 8x + (-4 + 3x) = 10x Reorder the terms: 40 + -4 + 8x + 3x = 10x Combine like terms: 40 + -4 = 36 36 + 8x + 3x = 10x Combine like terms: 8x + 3x = 11x 36 + 11x = 10x Solving 36 + 11x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 36 + 11x + -10x = 10x + -10x Combine like terms: 11x + -10x = 1x 36 + 1x = 10x + -10x Combine like terms: 10x + -10x = 0 36 + 1x = 0 Add '-36' to each side of the equation. 36 + -36 + 1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 0 + -36 1x = 0 + -36 Combine like terms: 0 + -36 = -36 1x = -36 Divide each side by '1'. x = -36 Simplifying x = -36
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