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Simplifying 2(2x + 14) = 2(x + -4) + -30 Reorder the terms: 2(14 + 2x) = 2(x + -4) + -30 (14 * 2 + 2x * 2) = 2(x + -4) + -30 (28 + 4x) = 2(x + -4) + -30 Reorder the terms: 28 + 4x = 2(-4 + x) + -30 28 + 4x = (-4 * 2 + x * 2) + -30 28 + 4x = (-8 + 2x) + -30 Reorder the terms: 28 + 4x = -8 + -30 + 2x Combine like terms: -8 + -30 = -38 28 + 4x = -38 + 2x Solving 28 + 4x = -38 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 28 + 4x + -2x = -38 + 2x + -2x Combine like terms: 4x + -2x = 2x 28 + 2x = -38 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 2x = -38 + 0 28 + 2x = -38 Add '-28' to each side of the equation. 28 + -28 + 2x = -38 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = -38 + -28 2x = -38 + -28 Combine like terms: -38 + -28 = -66 2x = -66 Divide each side by '2'. x = -33 Simplifying x = -33
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