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Simplifying 7(2x + -3) = 3 + 5(3x + -5) Reorder the terms: 7(-3 + 2x) = 3 + 5(3x + -5) (-3 * 7 + 2x * 7) = 3 + 5(3x + -5) (-21 + 14x) = 3 + 5(3x + -5) Reorder the terms: -21 + 14x = 3 + 5(-5 + 3x) -21 + 14x = 3 + (-5 * 5 + 3x * 5) -21 + 14x = 3 + (-25 + 15x) Combine like terms: 3 + -25 = -22 -21 + 14x = -22 + 15x Solving -21 + 14x = -22 + 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. -21 + 14x + -15x = -22 + 15x + -15x Combine like terms: 14x + -15x = -1x -21 + -1x = -22 + 15x + -15x Combine like terms: 15x + -15x = 0 -21 + -1x = -22 + 0 -21 + -1x = -22 Add '21' to each side of the equation. -21 + 21 + -1x = -22 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -22 + 21 -1x = -22 + 21 Combine like terms: -22 + 21 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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