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Simplifying x + 30 = 3(5x + -4) Reorder the terms: 30 + x = 3(5x + -4) Reorder the terms: 30 + x = 3(-4 + 5x) 30 + x = (-4 * 3 + 5x * 3) 30 + x = (-12 + 15x) Solving 30 + x = -12 + 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. 30 + x + -15x = -12 + 15x + -15x Combine like terms: x + -15x = -14x 30 + -14x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 30 + -14x = -12 + 0 30 + -14x = -12 Add '-30' to each side of the equation. 30 + -30 + -14x = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = -12 + -30 -14x = -12 + -30 Combine like terms: -12 + -30 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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