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Simplifying 4(x + 1) = 3(2x + -6) Reorder the terms: 4(1 + x) = 3(2x + -6) (1 * 4 + x * 4) = 3(2x + -6) (4 + 4x) = 3(2x + -6) Reorder the terms: 4 + 4x = 3(-6 + 2x) 4 + 4x = (-6 * 3 + 2x * 3) 4 + 4x = (-18 + 6x) Solving 4 + 4x = -18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 4x + -6x = -18 + 6x + -6x Combine like terms: 4x + -6x = -2x 4 + -2x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -2x = -18 + 0 4 + -2x = -18 Add '-4' to each side of the equation. 4 + -4 + -2x = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -18 + -4 -2x = -18 + -4 Combine like terms: -18 + -4 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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