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Simplifying 4(x + 2) + 10 = 3(2x + -6) Reorder the terms: 4(2 + x) + 10 = 3(2x + -6) (2 * 4 + x * 4) + 10 = 3(2x + -6) (8 + 4x) + 10 = 3(2x + -6) Reorder the terms: 8 + 10 + 4x = 3(2x + -6) Combine like terms: 8 + 10 = 18 18 + 4x = 3(2x + -6) Reorder the terms: 18 + 4x = 3(-6 + 2x) 18 + 4x = (-6 * 3 + 2x * 3) 18 + 4x = (-18 + 6x) Solving 18 + 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. 18 + 4x + -6x = -18 + 6x + -6x Combine like terms: 4x + -6x = -2x 18 + -2x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + -2x = -18 + 0 18 + -2x = -18 Add '-18' to each side of the equation. 18 + -18 + -2x = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -2x = -18 + -18 -2x = -18 + -18 Combine like terms: -18 + -18 = -36 -2x = -36 Divide each side by '-2'. x = 18 Simplifying x = 18
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