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Simplifying 58 = 2(3x + 4) + 2(2x + -5) Reorder the terms: 58 = 2(4 + 3x) + 2(2x + -5) 58 = (4 * 2 + 3x * 2) + 2(2x + -5) 58 = (8 + 6x) + 2(2x + -5) Reorder the terms: 58 = 8 + 6x + 2(-5 + 2x) 58 = 8 + 6x + (-5 * 2 + 2x * 2) 58 = 8 + 6x + (-10 + 4x) Reorder the terms: 58 = 8 + -10 + 6x + 4x Combine like terms: 8 + -10 = -2 58 = -2 + 6x + 4x Combine like terms: 6x + 4x = 10x 58 = -2 + 10x Solving 58 = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 58 + -10x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 58 + -10x = -2 + 0 58 + -10x = -2 Add '-58' to each side of the equation. 58 + -58 + -10x = -2 + -58 Combine like terms: 58 + -58 = 0 0 + -10x = -2 + -58 -10x = -2 + -58 Combine like terms: -2 + -58 = -60 -10x = -60 Divide each side by '-10'. x = 6 Simplifying x = 6
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