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Simplifying 5(x + -3) + 5 = 3(x + -7) + 5 Reorder the terms: 5(-3 + x) + 5 = 3(x + -7) + 5 (-3 * 5 + x * 5) + 5 = 3(x + -7) + 5 (-15 + 5x) + 5 = 3(x + -7) + 5 Reorder the terms: -15 + 5 + 5x = 3(x + -7) + 5 Combine like terms: -15 + 5 = -10 -10 + 5x = 3(x + -7) + 5 Reorder the terms: -10 + 5x = 3(-7 + x) + 5 -10 + 5x = (-7 * 3 + x * 3) + 5 -10 + 5x = (-21 + 3x) + 5 Reorder the terms: -10 + 5x = -21 + 5 + 3x Combine like terms: -21 + 5 = -16 -10 + 5x = -16 + 3x Solving -10 + 5x = -16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 5x + -3x = -16 + 3x + -3x Combine like terms: 5x + -3x = 2x -10 + 2x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 2x = -16 + 0 -10 + 2x = -16 Add '10' to each side of the equation. -10 + 10 + 2x = -16 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -16 + 10 2x = -16 + 10 Combine like terms: -16 + 10 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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