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Simplifying -5(2x + 9) = 4(x + 47) Reorder the terms: -5(9 + 2x) = 4(x + 47) (9 * -5 + 2x * -5) = 4(x + 47) (-45 + -10x) = 4(x + 47) Reorder the terms: -45 + -10x = 4(47 + x) -45 + -10x = (47 * 4 + x * 4) -45 + -10x = (188 + 4x) Solving -45 + -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. -45 + -10x + -4x = 188 + 4x + -4x Combine like terms: -10x + -4x = -14x -45 + -14x = 188 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + -14x = 188 + 0 -45 + -14x = 188 Add '45' to each side of the equation. -45 + 45 + -14x = 188 + 45 Combine like terms: -45 + 45 = 0 0 + -14x = 188 + 45 -14x = 188 + 45 Combine like terms: 188 + 45 = 233 -14x = 233 Divide each side by '-14'. x = -16.64285714 Simplifying x = -16.64285714
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