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Simplifying 6(x + -75) + -4(x + 64) = 64 + -6(x + -72) Reorder the terms: 6(-75 + x) + -4(x + 64) = 64 + -6(x + -72) (-75 * 6 + x * 6) + -4(x + 64) = 64 + -6(x + -72) (-450 + 6x) + -4(x + 64) = 64 + -6(x + -72) Reorder the terms: -450 + 6x + -4(64 + x) = 64 + -6(x + -72) -450 + 6x + (64 * -4 + x * -4) = 64 + -6(x + -72) -450 + 6x + (-256 + -4x) = 64 + -6(x + -72) Reorder the terms: -450 + -256 + 6x + -4x = 64 + -6(x + -72) Combine like terms: -450 + -256 = -706 -706 + 6x + -4x = 64 + -6(x + -72) Combine like terms: 6x + -4x = 2x -706 + 2x = 64 + -6(x + -72) Reorder the terms: -706 + 2x = 64 + -6(-72 + x) -706 + 2x = 64 + (-72 * -6 + x * -6) -706 + 2x = 64 + (432 + -6x) Combine like terms: 64 + 432 = 496 -706 + 2x = 496 + -6x Solving -706 + 2x = 496 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -706 + 2x + 6x = 496 + -6x + 6x Combine like terms: 2x + 6x = 8x -706 + 8x = 496 + -6x + 6x Combine like terms: -6x + 6x = 0 -706 + 8x = 496 + 0 -706 + 8x = 496 Add '706' to each side of the equation. -706 + 706 + 8x = 496 + 706 Combine like terms: -706 + 706 = 0 0 + 8x = 496 + 706 8x = 496 + 706 Combine like terms: 496 + 706 = 1202 8x = 1202 Divide each side by '8'. x = 150.25 Simplifying x = 150.25
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