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Simplifying 5x + 7 = 6(5x + -3) Reorder the terms: 7 + 5x = 6(5x + -3) Reorder the terms: 7 + 5x = 6(-3 + 5x) 7 + 5x = (-3 * 6 + 5x * 6) 7 + 5x = (-18 + 30x) Solving 7 + 5x = -18 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 7 + 5x + -30x = -18 + 30x + -30x Combine like terms: 5x + -30x = -25x 7 + -25x = -18 + 30x + -30x Combine like terms: 30x + -30x = 0 7 + -25x = -18 + 0 7 + -25x = -18 Add '-7' to each side of the equation. 7 + -7 + -25x = -18 + -7 Combine like terms: 7 + -7 = 0 0 + -25x = -18 + -7 -25x = -18 + -7 Combine like terms: -18 + -7 = -25 -25x = -25 Divide each side by '-25'. x = 1 Simplifying x = 1
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