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Simplifying 9(x + -9) + -1(x + 54) = 63 + -1(x + -63) Reorder the terms: 9(-9 + x) + -1(x + 54) = 63 + -1(x + -63) (-9 * 9 + x * 9) + -1(x + 54) = 63 + -1(x + -63) (-81 + 9x) + -1(x + 54) = 63 + -1(x + -63) Reorder the terms: -81 + 9x + -1(54 + x) = 63 + -1(x + -63) -81 + 9x + (54 * -1 + x * -1) = 63 + -1(x + -63) -81 + 9x + (-54 + -1x) = 63 + -1(x + -63) Reorder the terms: -81 + -54 + 9x + -1x = 63 + -1(x + -63) Combine like terms: -81 + -54 = -135 -135 + 9x + -1x = 63 + -1(x + -63) Combine like terms: 9x + -1x = 8x -135 + 8x = 63 + -1(x + -63) Reorder the terms: -135 + 8x = 63 + -1(-63 + x) -135 + 8x = 63 + (-63 * -1 + x * -1) -135 + 8x = 63 + (63 + -1x) Combine like terms: 63 + 63 = 126 -135 + 8x = 126 + -1x Solving -135 + 8x = 126 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -135 + 8x + x = 126 + -1x + x Combine like terms: 8x + x = 9x -135 + 9x = 126 + -1x + x Combine like terms: -1x + x = 0 -135 + 9x = 126 + 0 -135 + 9x = 126 Add '135' to each side of the equation. -135 + 135 + 9x = 126 + 135 Combine like terms: -135 + 135 = 0 0 + 9x = 126 + 135 9x = 126 + 135 Combine like terms: 126 + 135 = 261 9x = 261 Divide each side by '9'. x = 29 Simplifying x = 29
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