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Simplifying 5x + 5(7) = 6(x + -5) Multiply 5 * 7 5x + 35 = 6(x + -5) Reorder the terms: 35 + 5x = 6(x + -5) Reorder the terms: 35 + 5x = 6(-5 + x) 35 + 5x = (-5 * 6 + x * 6) 35 + 5x = (-30 + 6x) Solving 35 + 5x = -30 + 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. 35 + 5x + -6x = -30 + 6x + -6x Combine like terms: 5x + -6x = -1x 35 + -1x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + -1x = -30 + 0 35 + -1x = -30 Add '-35' to each side of the equation. 35 + -35 + -1x = -30 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = -30 + -35 -1x = -30 + -35 Combine like terms: -30 + -35 = -65 -1x = -65 Divide each side by '-1'. x = 65 Simplifying x = 65
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