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Simplifying 5(4x + -4) + -9 = x + -48 Reorder the terms: 5(-4 + 4x) + -9 = x + -48 (-4 * 5 + 4x * 5) + -9 = x + -48 (-20 + 20x) + -9 = x + -48 Reorder the terms: -20 + -9 + 20x = x + -48 Combine like terms: -20 + -9 = -29 -29 + 20x = x + -48 Reorder the terms: -29 + 20x = -48 + x Solving -29 + 20x = -48 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -29 + 20x + -1x = -48 + x + -1x Combine like terms: 20x + -1x = 19x -29 + 19x = -48 + x + -1x Combine like terms: x + -1x = 0 -29 + 19x = -48 + 0 -29 + 19x = -48 Add '29' to each side of the equation. -29 + 29 + 19x = -48 + 29 Combine like terms: -29 + 29 = 0 0 + 19x = -48 + 29 19x = -48 + 29 Combine like terms: -48 + 29 = -19 19x = -19 Divide each side by '19'. x = -1 Simplifying x = -1
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