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Simplifying 5(2x + -7) + -3(5 + -2x) + 10(-8x + 10) = -4(7 + -9x) Reorder the terms: 5(-7 + 2x) + -3(5 + -2x) + 10(-8x + 10) = -4(7 + -9x) (-7 * 5 + 2x * 5) + -3(5 + -2x) + 10(-8x + 10) = -4(7 + -9x) (-35 + 10x) + -3(5 + -2x) + 10(-8x + 10) = -4(7 + -9x) -35 + 10x + (5 * -3 + -2x * -3) + 10(-8x + 10) = -4(7 + -9x) -35 + 10x + (-15 + 6x) + 10(-8x + 10) = -4(7 + -9x) Reorder the terms: -35 + 10x + -15 + 6x + 10(10 + -8x) = -4(7 + -9x) -35 + 10x + -15 + 6x + (10 * 10 + -8x * 10) = -4(7 + -9x) -35 + 10x + -15 + 6x + (100 + -80x) = -4(7 + -9x) Reorder the terms: -35 + -15 + 100 + 10x + 6x + -80x = -4(7 + -9x) Combine like terms: -35 + -15 = -50 -50 + 100 + 10x + 6x + -80x = -4(7 + -9x) Combine like terms: -50 + 100 = 50 50 + 10x + 6x + -80x = -4(7 + -9x) Combine like terms: 10x + 6x = 16x 50 + 16x + -80x = -4(7 + -9x) Combine like terms: 16x + -80x = -64x 50 + -64x = -4(7 + -9x) 50 + -64x = (7 * -4 + -9x * -4) 50 + -64x = (-28 + 36x) Solving 50 + -64x = -28 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 50 + -64x + -36x = -28 + 36x + -36x Combine like terms: -64x + -36x = -100x 50 + -100x = -28 + 36x + -36x Combine like terms: 36x + -36x = 0 50 + -100x = -28 + 0 50 + -100x = -28 Add '-50' to each side of the equation. 50 + -50 + -100x = -28 + -50 Combine like terms: 50 + -50 = 0 0 + -100x = -28 + -50 -100x = -28 + -50 Combine like terms: -28 + -50 = -78 -100x = -78 Divide each side by '-100'. x = 0.78 Simplifying x = 0.78
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