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Simplifying 2x + -3(4x + 7) + -8 = 10(2x + -4) + -8x Reorder the terms: 2x + -3(7 + 4x) + -8 = 10(2x + -4) + -8x 2x + (7 * -3 + 4x * -3) + -8 = 10(2x + -4) + -8x 2x + (-21 + -12x) + -8 = 10(2x + -4) + -8x Reorder the terms: -21 + -8 + 2x + -12x = 10(2x + -4) + -8x Combine like terms: -21 + -8 = -29 -29 + 2x + -12x = 10(2x + -4) + -8x Combine like terms: 2x + -12x = -10x -29 + -10x = 10(2x + -4) + -8x Reorder the terms: -29 + -10x = 10(-4 + 2x) + -8x -29 + -10x = (-4 * 10 + 2x * 10) + -8x -29 + -10x = (-40 + 20x) + -8x Combine like terms: 20x + -8x = 12x -29 + -10x = -40 + 12x Solving -29 + -10x = -40 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -29 + -10x + -12x = -40 + 12x + -12x Combine like terms: -10x + -12x = -22x -29 + -22x = -40 + 12x + -12x Combine like terms: 12x + -12x = 0 -29 + -22x = -40 + 0 -29 + -22x = -40 Add '29' to each side of the equation. -29 + 29 + -22x = -40 + 29 Combine like terms: -29 + 29 = 0 0 + -22x = -40 + 29 -22x = -40 + 29 Combine like terms: -40 + 29 = -11 -22x = -11 Divide each side by '-22'. x = 0.5 Simplifying x = 0.5
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