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Simplifying x + 4 = 5(3x + -2) Reorder the terms: 4 + x = 5(3x + -2) Reorder the terms: 4 + x = 5(-2 + 3x) 4 + x = (-2 * 5 + 3x * 5) 4 + x = (-10 + 15x) Solving 4 + 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. 4 + x + -15x = -10 + 15x + -15x Combine like terms: x + -15x = -14x 4 + -14x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + -14x = -10 + 0 4 + -14x = -10 Add '-4' to each side of the equation. 4 + -4 + -14x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = -10 + -4 -14x = -10 + -4 Combine like terms: -10 + -4 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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