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Simplifying 6(x + 8) + -7x = 10(3 + -1x) Reorder the terms: 6(8 + x) + -7x = 10(3 + -1x) (8 * 6 + x * 6) + -7x = 10(3 + -1x) (48 + 6x) + -7x = 10(3 + -1x) Combine like terms: 6x + -7x = -1x 48 + -1x = 10(3 + -1x) 48 + -1x = (3 * 10 + -1x * 10) 48 + -1x = (30 + -10x) Solving 48 + -1x = 30 + -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. 48 + -1x + 10x = 30 + -10x + 10x Combine like terms: -1x + 10x = 9x 48 + 9x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 48 + 9x = 30 + 0 48 + 9x = 30 Add '-48' to each side of the equation. 48 + -48 + 9x = 30 + -48 Combine like terms: 48 + -48 = 0 0 + 9x = 30 + -48 9x = 30 + -48 Combine like terms: 30 + -48 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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