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Simplifying 7(3x + -2) + -4(2x + -13) = 12x + 8 Reorder the terms: 7(-2 + 3x) + -4(2x + -13) = 12x + 8 (-2 * 7 + 3x * 7) + -4(2x + -13) = 12x + 8 (-14 + 21x) + -4(2x + -13) = 12x + 8 Reorder the terms: -14 + 21x + -4(-13 + 2x) = 12x + 8 -14 + 21x + (-13 * -4 + 2x * -4) = 12x + 8 -14 + 21x + (52 + -8x) = 12x + 8 Reorder the terms: -14 + 52 + 21x + -8x = 12x + 8 Combine like terms: -14 + 52 = 38 38 + 21x + -8x = 12x + 8 Combine like terms: 21x + -8x = 13x 38 + 13x = 12x + 8 Reorder the terms: 38 + 13x = 8 + 12x Solving 38 + 13x = 8 + 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. 38 + 13x + -12x = 8 + 12x + -12x Combine like terms: 13x + -12x = 1x 38 + 1x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 38 + 1x = 8 + 0 38 + 1x = 8 Add '-38' to each side of the equation. 38 + -38 + 1x = 8 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = 8 + -38 1x = 8 + -38 Combine like terms: 8 + -38 = -30 1x = -30 Divide each side by '1'. x = -30 Simplifying x = -30
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