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Simplifying 4(8 + -1x) + 10 = -10(x + -3) + -6 (8 * 4 + -1x * 4) + 10 = -10(x + -3) + -6 (32 + -4x) + 10 = -10(x + -3) + -6 Reorder the terms: 32 + 10 + -4x = -10(x + -3) + -6 Combine like terms: 32 + 10 = 42 42 + -4x = -10(x + -3) + -6 Reorder the terms: 42 + -4x = -10(-3 + x) + -6 42 + -4x = (-3 * -10 + x * -10) + -6 42 + -4x = (30 + -10x) + -6 Reorder the terms: 42 + -4x = 30 + -6 + -10x Combine like terms: 30 + -6 = 24 42 + -4x = 24 + -10x Solving 42 + -4x = 24 + -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. 42 + -4x + 10x = 24 + -10x + 10x Combine like terms: -4x + 10x = 6x 42 + 6x = 24 + -10x + 10x Combine like terms: -10x + 10x = 0 42 + 6x = 24 + 0 42 + 6x = 24 Add '-42' to each side of the equation. 42 + -42 + 6x = 24 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 24 + -42 6x = 24 + -42 Combine like terms: 24 + -42 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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