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Simplifying -70 = 6(3 + -5x) + -1(x + -5) -70 = (3 * 6 + -5x * 6) + -1(x + -5) -70 = (18 + -30x) + -1(x + -5) Reorder the terms: -70 = 18 + -30x + -1(-5 + x) -70 = 18 + -30x + (-5 * -1 + x * -1) -70 = 18 + -30x + (5 + -1x) Reorder the terms: -70 = 18 + 5 + -30x + -1x Combine like terms: 18 + 5 = 23 -70 = 23 + -30x + -1x Combine like terms: -30x + -1x = -31x -70 = 23 + -31x Solving -70 = 23 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. -70 + 31x = 23 + -31x + 31x Combine like terms: -31x + 31x = 0 -70 + 31x = 23 + 0 -70 + 31x = 23 Add '70' to each side of the equation. -70 + 70 + 31x = 23 + 70 Combine like terms: -70 + 70 = 0 0 + 31x = 23 + 70 31x = 23 + 70 Combine like terms: 23 + 70 = 93 31x = 93 Divide each side by '31'. x = 3 Simplifying x = 3
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