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Simplifying 6(3 + -1x) = 10 + -2(x + 5) * 23 (3 * 6 + -1x * 6) = 10 + -2(x + 5) * 23 (18 + -6x) = 10 + -2(x + 5) * 23 Reorder the terms: 18 + -6x = 10 + -2(5 + x) * 23 Reorder the terms for easier multiplication: 18 + -6x = 10 + -2 * 23(5 + x) Multiply -2 * 23 18 + -6x = 10 + -46(5 + x) 18 + -6x = 10 + (5 * -46 + x * -46) 18 + -6x = 10 + (-230 + -46x) Combine like terms: 10 + -230 = -220 18 + -6x = -220 + -46x Solving 18 + -6x = -220 + -46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46x' to each side of the equation. 18 + -6x + 46x = -220 + -46x + 46x Combine like terms: -6x + 46x = 40x 18 + 40x = -220 + -46x + 46x Combine like terms: -46x + 46x = 0 18 + 40x = -220 + 0 18 + 40x = -220 Add '-18' to each side of the equation. 18 + -18 + 40x = -220 + -18 Combine like terms: 18 + -18 = 0 0 + 40x = -220 + -18 40x = -220 + -18 Combine like terms: -220 + -18 = -238 40x = -238 Divide each side by '40'. x = -5.95 Simplifying x = -5.95
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