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Simplifying 8(x + -24) + -7(x + 24) = 21 + -2(x + -27) Reorder the terms: 8(-24 + x) + -7(x + 24) = 21 + -2(x + -27) (-24 * 8 + x * 8) + -7(x + 24) = 21 + -2(x + -27) (-192 + 8x) + -7(x + 24) = 21 + -2(x + -27) Reorder the terms: -192 + 8x + -7(24 + x) = 21 + -2(x + -27) -192 + 8x + (24 * -7 + x * -7) = 21 + -2(x + -27) -192 + 8x + (-168 + -7x) = 21 + -2(x + -27) Reorder the terms: -192 + -168 + 8x + -7x = 21 + -2(x + -27) Combine like terms: -192 + -168 = -360 -360 + 8x + -7x = 21 + -2(x + -27) Combine like terms: 8x + -7x = 1x -360 + 1x = 21 + -2(x + -27) Reorder the terms: -360 + 1x = 21 + -2(-27 + x) -360 + 1x = 21 + (-27 * -2 + x * -2) -360 + 1x = 21 + (54 + -2x) Combine like terms: 21 + 54 = 75 -360 + 1x = 75 + -2x Solving -360 + 1x = 75 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -360 + 1x + 2x = 75 + -2x + 2x Combine like terms: 1x + 2x = 3x -360 + 3x = 75 + -2x + 2x Combine like terms: -2x + 2x = 0 -360 + 3x = 75 + 0 -360 + 3x = 75 Add '360' to each side of the equation. -360 + 360 + 3x = 75 + 360 Combine like terms: -360 + 360 = 0 0 + 3x = 75 + 360 3x = 75 + 360 Combine like terms: 75 + 360 = 435 3x = 435 Divide each side by '3'. x = 145 Simplifying x = 145
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