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Simplifying 8(-2x + 15) + -1(19 + x) = 35 Reorder the terms: 8(15 + -2x) + -1(19 + x) = 35 (15 * 8 + -2x * 8) + -1(19 + x) = 35 (120 + -16x) + -1(19 + x) = 35 120 + -16x + (19 * -1 + x * -1) = 35 120 + -16x + (-19 + -1x) = 35 Reorder the terms: 120 + -19 + -16x + -1x = 35 Combine like terms: 120 + -19 = 101 101 + -16x + -1x = 35 Combine like terms: -16x + -1x = -17x 101 + -17x = 35 Solving 101 + -17x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-101' to each side of the equation. 101 + -101 + -17x = 35 + -101 Combine like terms: 101 + -101 = 0 0 + -17x = 35 + -101 -17x = 35 + -101 Combine like terms: 35 + -101 = -66 -17x = -66 Divide each side by '-17'. x = 3.882352941 Simplifying x = 3.882352941
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