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Simplifying 2(x + 3) + 7 = -2(3x + 5) + 5 Reorder the terms: 2(3 + x) + 7 = -2(3x + 5) + 5 (3 * 2 + x * 2) + 7 = -2(3x + 5) + 5 (6 + 2x) + 7 = -2(3x + 5) + 5 Reorder the terms: 6 + 7 + 2x = -2(3x + 5) + 5 Combine like terms: 6 + 7 = 13 13 + 2x = -2(3x + 5) + 5 Reorder the terms: 13 + 2x = -2(5 + 3x) + 5 13 + 2x = (5 * -2 + 3x * -2) + 5 13 + 2x = (-10 + -6x) + 5 Reorder the terms: 13 + 2x = -10 + 5 + -6x Combine like terms: -10 + 5 = -5 13 + 2x = -5 + -6x Solving 13 + 2x = -5 + -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. 13 + 2x + 6x = -5 + -6x + 6x Combine like terms: 2x + 6x = 8x 13 + 8x = -5 + -6x + 6x Combine like terms: -6x + 6x = 0 13 + 8x = -5 + 0 13 + 8x = -5 Add '-13' to each side of the equation. 13 + -13 + 8x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = -5 + -13 8x = -5 + -13 Combine like terms: -5 + -13 = -18 8x = -18 Divide each side by '8'. x = -2.25 Simplifying x = -2.25
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