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Simplifying 2(2x + 4) + 6 = 3 + 3(x + -7) Reorder the terms: 2(4 + 2x) + 6 = 3 + 3(x + -7) (4 * 2 + 2x * 2) + 6 = 3 + 3(x + -7) (8 + 4x) + 6 = 3 + 3(x + -7) Reorder the terms: 8 + 6 + 4x = 3 + 3(x + -7) Combine like terms: 8 + 6 = 14 14 + 4x = 3 + 3(x + -7) Reorder the terms: 14 + 4x = 3 + 3(-7 + x) 14 + 4x = 3 + (-7 * 3 + x * 3) 14 + 4x = 3 + (-21 + 3x) Combine like terms: 3 + -21 = -18 14 + 4x = -18 + 3x Solving 14 + 4x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 4x + -3x = -18 + 3x + -3x Combine like terms: 4x + -3x = 1x 14 + 1x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 1x = -18 + 0 14 + 1x = -18 Add '-14' to each side of the equation. 14 + -14 + 1x = -18 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = -18 + -14 1x = -18 + -14 Combine like terms: -18 + -14 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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