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Simplifying 10(x + 7) = 6x + 62 Reorder the terms: 10(7 + x) = 6x + 62 (7 * 10 + x * 10) = 6x + 62 (70 + 10x) = 6x + 62 Reorder the terms: 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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