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Simplifying 10(x + -9) = 4(2x + 7 + -1x) Reorder the terms: 10(-9 + x) = 4(2x + 7 + -1x) (-9 * 10 + x * 10) = 4(2x + 7 + -1x) (-90 + 10x) = 4(2x + 7 + -1x) Reorder the terms: -90 + 10x = 4(7 + 2x + -1x) Combine like terms: 2x + -1x = 1x -90 + 10x = 4(7 + 1x) -90 + 10x = (7 * 4 + 1x * 4) -90 + 10x = (28 + 4x) Solving -90 + 10x = 28 + 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. -90 + 10x + -4x = 28 + 4x + -4x Combine like terms: 10x + -4x = 6x -90 + 6x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -90 + 6x = 28 + 0 -90 + 6x = 28 Add '90' to each side of the equation. -90 + 90 + 6x = 28 + 90 Combine like terms: -90 + 90 = 0 0 + 6x = 28 + 90 6x = 28 + 90 Combine like terms: 28 + 90 = 118 6x = 118 Divide each side by '6'. x = 19.66666667 Simplifying x = 19.66666667
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