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Simplifying 70 + -1(6x + 14) = 6(x + 5) + x Reorder the terms: 70 + -1(14 + 6x) = 6(x + 5) + x 70 + (14 * -1 + 6x * -1) = 6(x + 5) + x 70 + (-14 + -6x) = 6(x + 5) + x Combine like terms: 70 + -14 = 56 56 + -6x = 6(x + 5) + x Reorder the terms: 56 + -6x = 6(5 + x) + x 56 + -6x = (5 * 6 + x * 6) + x 56 + -6x = (30 + 6x) + x Combine like terms: 6x + x = 7x 56 + -6x = 30 + 7x Solving 56 + -6x = 30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 56 + -6x + -7x = 30 + 7x + -7x Combine like terms: -6x + -7x = -13x 56 + -13x = 30 + 7x + -7x Combine like terms: 7x + -7x = 0 56 + -13x = 30 + 0 56 + -13x = 30 Add '-56' to each side of the equation. 56 + -56 + -13x = 30 + -56 Combine like terms: 56 + -56 = 0 0 + -13x = 30 + -56 -13x = 30 + -56 Combine like terms: 30 + -56 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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