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Simplifying 5(2x + 14) = 2(3x + 31) Reorder the terms: 5(14 + 2x) = 2(3x + 31) (14 * 5 + 2x * 5) = 2(3x + 31) (70 + 10x) = 2(3x + 31) Reorder the terms: 70 + 10x = 2(31 + 3x) 70 + 10x = (31 * 2 + 3x * 2) 70 + 10x = (62 + 6x) Solving 70 + 10x = 62 + 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. 70 + 10x + -6x = 62 + 6x + -6x Combine like terms: 10x + -6x = 4x 70 + 4x = 62 + 6x + -6x Combine like terms: 6x + -6x = 0 70 + 4x = 62 + 0 70 + 4x = 62 Add '-70' to each side of the equation. 70 + -70 + 4x = 62 + -70 Combine like terms: 70 + -70 = 0 0 + 4x = 62 + -70 4x = 62 + -70 Combine like terms: 62 + -70 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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