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Simplifying 7x + 3(2x + -4) = -8(x + -5) + -2x Reorder the terms: 7x + 3(-4 + 2x) = -8(x + -5) + -2x 7x + (-4 * 3 + 2x * 3) = -8(x + -5) + -2x 7x + (-12 + 6x) = -8(x + -5) + -2x Reorder the terms: -12 + 7x + 6x = -8(x + -5) + -2x Combine like terms: 7x + 6x = 13x -12 + 13x = -8(x + -5) + -2x Reorder the terms: -12 + 13x = -8(-5 + x) + -2x -12 + 13x = (-5 * -8 + x * -8) + -2x -12 + 13x = (40 + -8x) + -2x Combine like terms: -8x + -2x = -10x -12 + 13x = 40 + -10x Solving -12 + 13x = 40 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12 + 13x + 10x = 40 + -10x + 10x Combine like terms: 13x + 10x = 23x -12 + 23x = 40 + -10x + 10x Combine like terms: -10x + 10x = 0 -12 + 23x = 40 + 0 -12 + 23x = 40 Add '12' to each side of the equation. -12 + 12 + 23x = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 23x = 40 + 12 23x = 40 + 12 Combine like terms: 40 + 12 = 52 23x = 52 Divide each side by '23'. x = 2.260869565 Simplifying x = 2.260869565
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