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Simplifying x + 7 = 5(3x + -2) Reorder the terms: 7 + x = 5(3x + -2) Reorder the terms: 7 + x = 5(-2 + 3x) 7 + x = (-2 * 5 + 3x * 5) 7 + x = (-10 + 15x) Solving 7 + x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 7 + x + -15x = -10 + 15x + -15x Combine like terms: x + -15x = -14x 7 + -14x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 7 + -14x = -10 + 0 7 + -14x = -10 Add '-7' to each side of the equation. 7 + -7 + -14x = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -14x = -10 + -7 -14x = -10 + -7 Combine like terms: -10 + -7 = -17 -14x = -17 Divide each side by '-14'. x = 1.214285714 Simplifying x = 1.214285714
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