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Simplifying 3(4x + -6) + 8 = 4(x + 1) + 18 Reorder the terms: 3(-6 + 4x) + 8 = 4(x + 1) + 18 (-6 * 3 + 4x * 3) + 8 = 4(x + 1) + 18 (-18 + 12x) + 8 = 4(x + 1) + 18 Reorder the terms: -18 + 8 + 12x = 4(x + 1) + 18 Combine like terms: -18 + 8 = -10 -10 + 12x = 4(x + 1) + 18 Reorder the terms: -10 + 12x = 4(1 + x) + 18 -10 + 12x = (1 * 4 + x * 4) + 18 -10 + 12x = (4 + 4x) + 18 Reorder the terms: -10 + 12x = 4 + 18 + 4x Combine like terms: 4 + 18 = 22 -10 + 12x = 22 + 4x Solving -10 + 12x = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 12x + -4x = 22 + 4x + -4x Combine like terms: 12x + -4x = 8x -10 + 8x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 8x = 22 + 0 -10 + 8x = 22 Add '10' to each side of the equation. -10 + 10 + 8x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 22 + 10 8x = 22 + 10 Combine like terms: 22 + 10 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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