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Simplifying x + -70 = 7(2x + 3) + -13 Reorder the terms: -70 + x = 7(2x + 3) + -13 Reorder the terms: -70 + x = 7(3 + 2x) + -13 -70 + x = (3 * 7 + 2x * 7) + -13 -70 + x = (21 + 14x) + -13 Reorder the terms: -70 + x = 21 + -13 + 14x Combine like terms: 21 + -13 = 8 -70 + x = 8 + 14x Solving -70 + x = 8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -70 + x + -14x = 8 + 14x + -14x Combine like terms: x + -14x = -13x -70 + -13x = 8 + 14x + -14x Combine like terms: 14x + -14x = 0 -70 + -13x = 8 + 0 -70 + -13x = 8 Add '70' to each side of the equation. -70 + 70 + -13x = 8 + 70 Combine like terms: -70 + 70 = 0 0 + -13x = 8 + 70 -13x = 8 + 70 Combine like terms: 8 + 70 = 78 -13x = 78 Divide each side by '-13'. x = -6 Simplifying x = -6
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