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Simplifying 2(2x + 7) = 4(3x + -16) + -2 Reorder the terms: 2(7 + 2x) = 4(3x + -16) + -2 (7 * 2 + 2x * 2) = 4(3x + -16) + -2 (14 + 4x) = 4(3x + -16) + -2 Reorder the terms: 14 + 4x = 4(-16 + 3x) + -2 14 + 4x = (-16 * 4 + 3x * 4) + -2 14 + 4x = (-64 + 12x) + -2 Reorder the terms: 14 + 4x = -64 + -2 + 12x Combine like terms: -64 + -2 = -66 14 + 4x = -66 + 12x Solving 14 + 4x = -66 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 14 + 4x + -12x = -66 + 12x + -12x Combine like terms: 4x + -12x = -8x 14 + -8x = -66 + 12x + -12x Combine like terms: 12x + -12x = 0 14 + -8x = -66 + 0 14 + -8x = -66 Add '-14' to each side of the equation. 14 + -14 + -8x = -66 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -66 + -14 -8x = -66 + -14 Combine like terms: -66 + -14 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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