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Simplifying 2(x + 3) + -3x + 8 = 6(x + -5) + 2 Reorder the terms: 2(3 + x) + -3x + 8 = 6(x + -5) + 2 (3 * 2 + x * 2) + -3x + 8 = 6(x + -5) + 2 (6 + 2x) + -3x + 8 = 6(x + -5) + 2 Reorder the terms: 6 + 8 + 2x + -3x = 6(x + -5) + 2 Combine like terms: 6 + 8 = 14 14 + 2x + -3x = 6(x + -5) + 2 Combine like terms: 2x + -3x = -1x 14 + -1x = 6(x + -5) + 2 Reorder the terms: 14 + -1x = 6(-5 + x) + 2 14 + -1x = (-5 * 6 + x * 6) + 2 14 + -1x = (-30 + 6x) + 2 Reorder the terms: 14 + -1x = -30 + 2 + 6x Combine like terms: -30 + 2 = -28 14 + -1x = -28 + 6x Solving 14 + -1x = -28 + 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. 14 + -1x + -6x = -28 + 6x + -6x Combine like terms: -1x + -6x = -7x 14 + -7x = -28 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -7x = -28 + 0 14 + -7x = -28 Add '-14' to each side of the equation. 14 + -14 + -7x = -28 + -14 Combine like terms: 14 + -14 = 0 0 + -7x = -28 + -14 -7x = -28 + -14 Combine like terms: -28 + -14 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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