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Simplifying 5(x + -6) + 2 = 7(x + 2) + -4 Reorder the terms: 5(-6 + x) + 2 = 7(x + 2) + -4 (-6 * 5 + x * 5) + 2 = 7(x + 2) + -4 (-30 + 5x) + 2 = 7(x + 2) + -4 Reorder the terms: -30 + 2 + 5x = 7(x + 2) + -4 Combine like terms: -30 + 2 = -28 -28 + 5x = 7(x + 2) + -4 Reorder the terms: -28 + 5x = 7(2 + x) + -4 -28 + 5x = (2 * 7 + x * 7) + -4 -28 + 5x = (14 + 7x) + -4 Reorder the terms: -28 + 5x = 14 + -4 + 7x Combine like terms: 14 + -4 = 10 -28 + 5x = 10 + 7x Solving -28 + 5x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -28 + 5x + -7x = 10 + 7x + -7x Combine like terms: 5x + -7x = -2x -28 + -2x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -28 + -2x = 10 + 0 -28 + -2x = 10 Add '28' to each side of the equation. -28 + 28 + -2x = 10 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = 10 + 28 -2x = 10 + 28 Combine like terms: 10 + 28 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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