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Simplifying 7(2x + 3) + -3 = 5(3x + -7) Reorder the terms: 7(3 + 2x) + -3 = 5(3x + -7) (3 * 7 + 2x * 7) + -3 = 5(3x + -7) (21 + 14x) + -3 = 5(3x + -7) Reorder the terms: 21 + -3 + 14x = 5(3x + -7) Combine like terms: 21 + -3 = 18 18 + 14x = 5(3x + -7) Reorder the terms: 18 + 14x = 5(-7 + 3x) 18 + 14x = (-7 * 5 + 3x * 5) 18 + 14x = (-35 + 15x) Solving 18 + 14x = -35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + 14x + -15x = -35 + 15x + -15x Combine like terms: 14x + -15x = -1x 18 + -1x = -35 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + -1x = -35 + 0 18 + -1x = -35 Add '-18' to each side of the equation. 18 + -18 + -1x = -35 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = -35 + -18 -1x = -35 + -18 Combine like terms: -35 + -18 = -53 -1x = -53 Divide each side by '-1'. x = 53 Simplifying x = 53
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