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Simplifying 4(2x + -7) + -2(x + 8) = 12x + -42 Reorder the terms: 4(-7 + 2x) + -2(x + 8) = 12x + -42 (-7 * 4 + 2x * 4) + -2(x + 8) = 12x + -42 (-28 + 8x) + -2(x + 8) = 12x + -42 Reorder the terms: -28 + 8x + -2(8 + x) = 12x + -42 -28 + 8x + (8 * -2 + x * -2) = 12x + -42 -28 + 8x + (-16 + -2x) = 12x + -42 Reorder the terms: -28 + -16 + 8x + -2x = 12x + -42 Combine like terms: -28 + -16 = -44 -44 + 8x + -2x = 12x + -42 Combine like terms: 8x + -2x = 6x -44 + 6x = 12x + -42 Reorder the terms: -44 + 6x = -42 + 12x Solving -44 + 6x = -42 + 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. -44 + 6x + -12x = -42 + 12x + -12x Combine like terms: 6x + -12x = -6x -44 + -6x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 -44 + -6x = -42 + 0 -44 + -6x = -42 Add '44' to each side of the equation. -44 + 44 + -6x = -42 + 44 Combine like terms: -44 + 44 = 0 0 + -6x = -42 + 44 -6x = -42 + 44 Combine like terms: -42 + 44 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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