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Simplifying -2x + 6(4x + 6) = 8(3x + 7) Reorder the terms: -2x + 6(6 + 4x) = 8(3x + 7) -2x + (6 * 6 + 4x * 6) = 8(3x + 7) -2x + (36 + 24x) = 8(3x + 7) Reorder the terms: 36 + -2x + 24x = 8(3x + 7) Combine like terms: -2x + 24x = 22x 36 + 22x = 8(3x + 7) Reorder the terms: 36 + 22x = 8(7 + 3x) 36 + 22x = (7 * 8 + 3x * 8) 36 + 22x = (56 + 24x) Solving 36 + 22x = 56 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 36 + 22x + -24x = 56 + 24x + -24x Combine like terms: 22x + -24x = -2x 36 + -2x = 56 + 24x + -24x Combine like terms: 24x + -24x = 0 36 + -2x = 56 + 0 36 + -2x = 56 Add '-36' to each side of the equation. 36 + -36 + -2x = 56 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = 56 + -36 -2x = 56 + -36 Combine like terms: 56 + -36 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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