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Simplifying 8x + 62 = 10(x + 5) Reorder the terms: 62 + 8x = 10(x + 5) Reorder the terms: 62 + 8x = 10(5 + x) 62 + 8x = (5 * 10 + x * 10) 62 + 8x = (50 + 10x) Solving 62 + 8x = 50 + 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. 62 + 8x + -10x = 50 + 10x + -10x Combine like terms: 8x + -10x = -2x 62 + -2x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 62 + -2x = 50 + 0 62 + -2x = 50 Add '-62' to each side of the equation. 62 + -62 + -2x = 50 + -62 Combine like terms: 62 + -62 = 0 0 + -2x = 50 + -62 -2x = 50 + -62 Combine like terms: 50 + -62 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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