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Simplifying -2(x + 5) + 3 = 6(x + 5) + 2 Reorder the terms: -2(5 + x) + 3 = 6(x + 5) + 2 (5 * -2 + x * -2) + 3 = 6(x + 5) + 2 (-10 + -2x) + 3 = 6(x + 5) + 2 Reorder the terms: -10 + 3 + -2x = 6(x + 5) + 2 Combine like terms: -10 + 3 = -7 -7 + -2x = 6(x + 5) + 2 Reorder the terms: -7 + -2x = 6(5 + x) + 2 -7 + -2x = (5 * 6 + x * 6) + 2 -7 + -2x = (30 + 6x) + 2 Reorder the terms: -7 + -2x = 30 + 2 + 6x Combine like terms: 30 + 2 = 32 -7 + -2x = 32 + 6x Solving -7 + -2x = 32 + 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. -7 + -2x + -6x = 32 + 6x + -6x Combine like terms: -2x + -6x = -8x -7 + -8x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -8x = 32 + 0 -7 + -8x = 32 Add '7' to each side of the equation. -7 + 7 + -8x = 32 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 32 + 7 -8x = 32 + 7 Combine like terms: 32 + 7 = 39 -8x = 39 Divide each side by '-8'. x = -4.875 Simplifying x = -4.875
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