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Simplifying 7(30 + x) = 8(27 + -1x) (30 * 7 + x * 7) = 8(27 + -1x) (210 + 7x) = 8(27 + -1x) 210 + 7x = (27 * 8 + -1x * 8) 210 + 7x = (216 + -8x) Solving 210 + 7x = 216 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 210 + 7x + 8x = 216 + -8x + 8x Combine like terms: 7x + 8x = 15x 210 + 15x = 216 + -8x + 8x Combine like terms: -8x + 8x = 0 210 + 15x = 216 + 0 210 + 15x = 216 Add '-210' to each side of the equation. 210 + -210 + 15x = 216 + -210 Combine like terms: 210 + -210 = 0 0 + 15x = 216 + -210 15x = 216 + -210 Combine like terms: 216 + -210 = 6 15x = 6 Divide each side by '15'. x = 0.4 Simplifying x = 0.4
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