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Simplifying 14 + -1(x + -5) = 11x + -2(x + 8) Reorder the terms: 14 + -1(-5 + x) = 11x + -2(x + 8) 14 + (-5 * -1 + x * -1) = 11x + -2(x + 8) 14 + (5 + -1x) = 11x + -2(x + 8) Combine like terms: 14 + 5 = 19 19 + -1x = 11x + -2(x + 8) Reorder the terms: 19 + -1x = 11x + -2(8 + x) 19 + -1x = 11x + (8 * -2 + x * -2) 19 + -1x = 11x + (-16 + -2x) Reorder the terms: 19 + -1x = -16 + 11x + -2x Combine like terms: 11x + -2x = 9x 19 + -1x = -16 + 9x Solving 19 + -1x = -16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 19 + -1x + -9x = -16 + 9x + -9x Combine like terms: -1x + -9x = -10x 19 + -10x = -16 + 9x + -9x Combine like terms: 9x + -9x = 0 19 + -10x = -16 + 0 19 + -10x = -16 Add '-19' to each side of the equation. 19 + -19 + -10x = -16 + -19 Combine like terms: 19 + -19 = 0 0 + -10x = -16 + -19 -10x = -16 + -19 Combine like terms: -16 + -19 = -35 -10x = -35 Divide each side by '-10'. x = 3.5 Simplifying x = 3.5
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