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Simplifying 4x + 6x + -2(x + -2) = 3(4x + 7) Reorder the terms: 4x + 6x + -2(-2 + x) = 3(4x + 7) 4x + 6x + (-2 * -2 + x * -2) = 3(4x + 7) 4x + 6x + (4 + -2x) = 3(4x + 7) Reorder the terms: 4 + 4x + 6x + -2x = 3(4x + 7) Combine like terms: 4x + 6x = 10x 4 + 10x + -2x = 3(4x + 7) Combine like terms: 10x + -2x = 8x 4 + 8x = 3(4x + 7) Reorder the terms: 4 + 8x = 3(7 + 4x) 4 + 8x = (7 * 3 + 4x * 3) 4 + 8x = (21 + 12x) Solving 4 + 8x = 21 + 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. 4 + 8x + -12x = 21 + 12x + -12x Combine like terms: 8x + -12x = -4x 4 + -4x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -4x = 21 + 0 4 + -4x = 21 Add '-4' to each side of the equation. 4 + -4 + -4x = 21 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 21 + -4 -4x = 21 + -4 Combine like terms: 21 + -4 = 17 -4x = 17 Divide each side by '-4'. x = -4.25 Simplifying x = -4.25
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