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Simplifying 7(x + -7) + 30 = 3(x + -5) Reorder the terms: 7(-7 + x) + 30 = 3(x + -5) (-7 * 7 + x * 7) + 30 = 3(x + -5) (-49 + 7x) + 30 = 3(x + -5) Reorder the terms: -49 + 30 + 7x = 3(x + -5) Combine like terms: -49 + 30 = -19 -19 + 7x = 3(x + -5) Reorder the terms: -19 + 7x = 3(-5 + x) -19 + 7x = (-5 * 3 + x * 3) -19 + 7x = (-15 + 3x) Solving -19 + 7x = -15 + 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. -19 + 7x + -3x = -15 + 3x + -3x Combine like terms: 7x + -3x = 4x -19 + 4x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -19 + 4x = -15 + 0 -19 + 4x = -15 Add '19' to each side of the equation. -19 + 19 + 4x = -15 + 19 Combine like terms: -19 + 19 = 0 0 + 4x = -15 + 19 4x = -15 + 19 Combine like terms: -15 + 19 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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