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Simplifying x + 1 = 4(2x + 3) + -4 Reorder the terms: 1 + x = 4(2x + 3) + -4 Reorder the terms: 1 + x = 4(3 + 2x) + -4 1 + x = (3 * 4 + 2x * 4) + -4 1 + x = (12 + 8x) + -4 Reorder the terms: 1 + x = 12 + -4 + 8x Combine like terms: 12 + -4 = 8 1 + x = 8 + 8x Solving 1 + x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + x + -8x = 8 + 8x + -8x Combine like terms: x + -8x = -7x 1 + -7x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -7x = 8 + 0 1 + -7x = 8 Add '-1' to each side of the equation. 1 + -1 + -7x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 8 + -1 -7x = 8 + -1 Combine like terms: 8 + -1 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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