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Simplifying 4(3x + 2) + 5 = (2x + 3) + -2 Reorder the terms: 4(2 + 3x) + 5 = (2x + 3) + -2 (2 * 4 + 3x * 4) + 5 = (2x + 3) + -2 (8 + 12x) + 5 = (2x + 3) + -2 Reorder the terms: 8 + 5 + 12x = (2x + 3) + -2 Combine like terms: 8 + 5 = 13 13 + 12x = (2x + 3) + -2 Reorder the terms: 13 + 12x = (3 + 2x) + -2 Remove parenthesis around (3 + 2x) 13 + 12x = 3 + 2x + -2 Reorder the terms: 13 + 12x = 3 + -2 + 2x Combine like terms: 3 + -2 = 1 13 + 12x = 1 + 2x Solving 13 + 12x = 1 + 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. 13 + 12x + -2x = 1 + 2x + -2x Combine like terms: 12x + -2x = 10x 13 + 10x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 10x = 1 + 0 13 + 10x = 1 Add '-13' to each side of the equation. 13 + -13 + 10x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 10x = 1 + -13 10x = 1 + -13 Combine like terms: 1 + -13 = -12 10x = -12 Divide each side by '10'. x = -1.2 Simplifying x = -1.2
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