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Simplifying 10(4 + -1x) + 3 = 8(5 + -2x) + -3 (4 * 10 + -1x * 10) + 3 = 8(5 + -2x) + -3 (40 + -10x) + 3 = 8(5 + -2x) + -3 Reorder the terms: 40 + 3 + -10x = 8(5 + -2x) + -3 Combine like terms: 40 + 3 = 43 43 + -10x = 8(5 + -2x) + -3 43 + -10x = (5 * 8 + -2x * 8) + -3 43 + -10x = (40 + -16x) + -3 Reorder the terms: 43 + -10x = 40 + -3 + -16x Combine like terms: 40 + -3 = 37 43 + -10x = 37 + -16x Solving 43 + -10x = 37 + -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. 43 + -10x + 16x = 37 + -16x + 16x Combine like terms: -10x + 16x = 6x 43 + 6x = 37 + -16x + 16x Combine like terms: -16x + 16x = 0 43 + 6x = 37 + 0 43 + 6x = 37 Add '-43' to each side of the equation. 43 + -43 + 6x = 37 + -43 Combine like terms: 43 + -43 = 0 0 + 6x = 37 + -43 6x = 37 + -43 Combine like terms: 37 + -43 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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