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Simplifying -5(2x + -6) = 4(x + 47) Reorder the terms: -5(-6 + 2x) = 4(x + 47) (-6 * -5 + 2x * -5) = 4(x + 47) (30 + -10x) = 4(x + 47) Reorder the terms: 30 + -10x = 4(47 + x) 30 + -10x = (47 * 4 + x * 4) 30 + -10x = (188 + 4x) Solving 30 + -10x = 188 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 30 + -10x + -4x = 188 + 4x + -4x Combine like terms: -10x + -4x = -14x 30 + -14x = 188 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -14x = 188 + 0 30 + -14x = 188 Add '-30' to each side of the equation. 30 + -30 + -14x = 188 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = 188 + -30 -14x = 188 + -30 Combine like terms: 188 + -30 = 158 -14x = 158 Divide each side by '-14'. x = -11.28571429 Simplifying x = -11.28571429
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