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Simplifying 5x + 2 = 2x + -8(3x + -7) Reorder the terms: 2 + 5x = 2x + -8(3x + -7) Reorder the terms: 2 + 5x = 2x + -8(-7 + 3x) 2 + 5x = 2x + (-7 * -8 + 3x * -8) 2 + 5x = 2x + (56 + -24x) Reorder the terms: 2 + 5x = 56 + 2x + -24x Combine like terms: 2x + -24x = -22x 2 + 5x = 56 + -22x Solving 2 + 5x = 56 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 2 + 5x + 22x = 56 + -22x + 22x Combine like terms: 5x + 22x = 27x 2 + 27x = 56 + -22x + 22x Combine like terms: -22x + 22x = 0 2 + 27x = 56 + 0 2 + 27x = 56 Add '-2' to each side of the equation. 2 + -2 + 27x = 56 + -2 Combine like terms: 2 + -2 = 0 0 + 27x = 56 + -2 27x = 56 + -2 Combine like terms: 56 + -2 = 54 27x = 54 Divide each side by '27'. x = 2 Simplifying x = 2
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