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Simplifying 5(x + -64) + -6(x + 16) = 56 + -9(x + -40) Reorder the terms: 5(-64 + x) + -6(x + 16) = 56 + -9(x + -40) (-64 * 5 + x * 5) + -6(x + 16) = 56 + -9(x + -40) (-320 + 5x) + -6(x + 16) = 56 + -9(x + -40) Reorder the terms: -320 + 5x + -6(16 + x) = 56 + -9(x + -40) -320 + 5x + (16 * -6 + x * -6) = 56 + -9(x + -40) -320 + 5x + (-96 + -6x) = 56 + -9(x + -40) Reorder the terms: -320 + -96 + 5x + -6x = 56 + -9(x + -40) Combine like terms: -320 + -96 = -416 -416 + 5x + -6x = 56 + -9(x + -40) Combine like terms: 5x + -6x = -1x -416 + -1x = 56 + -9(x + -40) Reorder the terms: -416 + -1x = 56 + -9(-40 + x) -416 + -1x = 56 + (-40 * -9 + x * -9) -416 + -1x = 56 + (360 + -9x) Combine like terms: 56 + 360 = 416 -416 + -1x = 416 + -9x Solving -416 + -1x = 416 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -416 + -1x + 9x = 416 + -9x + 9x Combine like terms: -1x + 9x = 8x -416 + 8x = 416 + -9x + 9x Combine like terms: -9x + 9x = 0 -416 + 8x = 416 + 0 -416 + 8x = 416 Add '416' to each side of the equation. -416 + 416 + 8x = 416 + 416 Combine like terms: -416 + 416 = 0 0 + 8x = 416 + 416 8x = 416 + 416 Combine like terms: 416 + 416 = 832 8x = 832 Divide each side by '8'. x = 104 Simplifying x = 104
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