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Simplifying 2(x + 2) + -5 = 2(3x + 3) + 1 Reorder the terms: 2(2 + x) + -5 = 2(3x + 3) + 1 (2 * 2 + x * 2) + -5 = 2(3x + 3) + 1 (4 + 2x) + -5 = 2(3x + 3) + 1 Reorder the terms: 4 + -5 + 2x = 2(3x + 3) + 1 Combine like terms: 4 + -5 = -1 -1 + 2x = 2(3x + 3) + 1 Reorder the terms: -1 + 2x = 2(3 + 3x) + 1 -1 + 2x = (3 * 2 + 3x * 2) + 1 -1 + 2x = (6 + 6x) + 1 Reorder the terms: -1 + 2x = 6 + 1 + 6x Combine like terms: 6 + 1 = 7 -1 + 2x = 7 + 6x Solving -1 + 2x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 2x + -6x = 7 + 6x + -6x Combine like terms: 2x + -6x = -4x -1 + -4x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -4x = 7 + 0 -1 + -4x = 7 Add '1' to each side of the equation. -1 + 1 + -4x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 7 + 1 -4x = 7 + 1 Combine like terms: 7 + 1 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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