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Simplifying 6(x + -72) + -4(x + 64) = 64 + -6(x + -72) Reorder the terms: 6(-72 + x) + -4(x + 64) = 64 + -6(x + -72) (-72 * 6 + x * 6) + -4(x + 64) = 64 + -6(x + -72) (-432 + 6x) + -4(x + 64) = 64 + -6(x + -72) Reorder the terms: -432 + 6x + -4(64 + x) = 64 + -6(x + -72) -432 + 6x + (64 * -4 + x * -4) = 64 + -6(x + -72) -432 + 6x + (-256 + -4x) = 64 + -6(x + -72) Reorder the terms: -432 + -256 + 6x + -4x = 64 + -6(x + -72) Combine like terms: -432 + -256 = -688 -688 + 6x + -4x = 64 + -6(x + -72) Combine like terms: 6x + -4x = 2x -688 + 2x = 64 + -6(x + -72) Reorder the terms: -688 + 2x = 64 + -6(-72 + x) -688 + 2x = 64 + (-72 * -6 + x * -6) -688 + 2x = 64 + (432 + -6x) Combine like terms: 64 + 432 = 496 -688 + 2x = 496 + -6x Solving -688 + 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. -688 + 2x + 6x = 496 + -6x + 6x Combine like terms: 2x + 6x = 8x -688 + 8x = 496 + -6x + 6x Combine like terms: -6x + 6x = 0 -688 + 8x = 496 + 0 -688 + 8x = 496 Add '688' to each side of the equation. -688 + 688 + 8x = 496 + 688 Combine like terms: -688 + 688 = 0 0 + 8x = 496 + 688 8x = 496 + 688 Combine like terms: 496 + 688 = 1184 8x = 1184 Divide each side by '8'. x = 148 Simplifying x = 148
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