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Simplifying 4(x + -36) + -3(x + 54) = 48 + -5(x + -24) Reorder the terms: 4(-36 + x) + -3(x + 54) = 48 + -5(x + -24) (-36 * 4 + x * 4) + -3(x + 54) = 48 + -5(x + -24) (-144 + 4x) + -3(x + 54) = 48 + -5(x + -24) Reorder the terms: -144 + 4x + -3(54 + x) = 48 + -5(x + -24) -144 + 4x + (54 * -3 + x * -3) = 48 + -5(x + -24) -144 + 4x + (-162 + -3x) = 48 + -5(x + -24) Reorder the terms: -144 + -162 + 4x + -3x = 48 + -5(x + -24) Combine like terms: -144 + -162 = -306 -306 + 4x + -3x = 48 + -5(x + -24) Combine like terms: 4x + -3x = 1x -306 + 1x = 48 + -5(x + -24) Reorder the terms: -306 + 1x = 48 + -5(-24 + x) -306 + 1x = 48 + (-24 * -5 + x * -5) -306 + 1x = 48 + (120 + -5x) Combine like terms: 48 + 120 = 168 -306 + 1x = 168 + -5x Solving -306 + 1x = 168 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -306 + 1x + 5x = 168 + -5x + 5x Combine like terms: 1x + 5x = 6x -306 + 6x = 168 + -5x + 5x Combine like terms: -5x + 5x = 0 -306 + 6x = 168 + 0 -306 + 6x = 168 Add '306' to each side of the equation. -306 + 306 + 6x = 168 + 306 Combine like terms: -306 + 306 = 0 0 + 6x = 168 + 306 6x = 168 + 306 Combine like terms: 168 + 306 = 474 6x = 474 Divide each side by '6'. x = 79 Simplifying x = 79
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