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Simplifying 5 + 2x + 7 = (4x + -1) * 2 + x Reorder the terms: 5 + 7 + 2x = (4x + -1) * 2 + x Combine like terms: 5 + 7 = 12 12 + 2x = (4x + -1) * 2 + x Reorder the terms: 12 + 2x = (-1 + 4x) * 2 + x Reorder the terms for easier multiplication: 12 + 2x = 2(-1 + 4x) + x 12 + 2x = (-1 * 2 + 4x * 2) + x 12 + 2x = (-2 + 8x) + x Combine like terms: 8x + x = 9x 12 + 2x = -2 + 9x Solving 12 + 2x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 2x + -9x = -2 + 9x + -9x Combine like terms: 2x + -9x = -7x 12 + -7x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + -7x = -2 + 0 12 + -7x = -2 Add '-12' to each side of the equation. 12 + -12 + -7x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -2 + -12 -7x = -2 + -12 Combine like terms: -2 + -12 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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