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Simplifying 7(9x + -5) + -3(4 + -8x) + 7(-4x + 6) = -10(2 + -6x) Reorder the terms: 7(-5 + 9x) + -3(4 + -8x) + 7(-4x + 6) = -10(2 + -6x) (-5 * 7 + 9x * 7) + -3(4 + -8x) + 7(-4x + 6) = -10(2 + -6x) (-35 + 63x) + -3(4 + -8x) + 7(-4x + 6) = -10(2 + -6x) -35 + 63x + (4 * -3 + -8x * -3) + 7(-4x + 6) = -10(2 + -6x) -35 + 63x + (-12 + 24x) + 7(-4x + 6) = -10(2 + -6x) Reorder the terms: -35 + 63x + -12 + 24x + 7(6 + -4x) = -10(2 + -6x) -35 + 63x + -12 + 24x + (6 * 7 + -4x * 7) = -10(2 + -6x) -35 + 63x + -12 + 24x + (42 + -28x) = -10(2 + -6x) Reorder the terms: -35 + -12 + 42 + 63x + 24x + -28x = -10(2 + -6x) Combine like terms: -35 + -12 = -47 -47 + 42 + 63x + 24x + -28x = -10(2 + -6x) Combine like terms: -47 + 42 = -5 -5 + 63x + 24x + -28x = -10(2 + -6x) Combine like terms: 63x + 24x = 87x -5 + 87x + -28x = -10(2 + -6x) Combine like terms: 87x + -28x = 59x -5 + 59x = -10(2 + -6x) -5 + 59x = (2 * -10 + -6x * -10) -5 + 59x = (-20 + 60x) Solving -5 + 59x = -20 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -5 + 59x + -60x = -20 + 60x + -60x Combine like terms: 59x + -60x = -1x -5 + -1x = -20 + 60x + -60x Combine like terms: 60x + -60x = 0 -5 + -1x = -20 + 0 -5 + -1x = -20 Add '5' to each side of the equation. -5 + 5 + -1x = -20 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = -20 + 5 -1x = -20 + 5 Combine like terms: -20 + 5 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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