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Simplifying 6x + 78 = 10(x + 5) Reorder the terms: 78 + 6x = 10(x + 5) Reorder the terms: 78 + 6x = 10(5 + x) 78 + 6x = (5 * 10 + x * 10) 78 + 6x = (50 + 10x) Solving 78 + 6x = 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. 78 + 6x + -10x = 50 + 10x + -10x Combine like terms: 6x + -10x = -4x 78 + -4x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 78 + -4x = 50 + 0 78 + -4x = 50 Add '-78' to each side of the equation. 78 + -78 + -4x = 50 + -78 Combine like terms: 78 + -78 = 0 0 + -4x = 50 + -78 -4x = 50 + -78 Combine like terms: 50 + -78 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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