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Simplifying 5(x + -7) + 2 = 4(x + 3) Reorder the terms: 5(-7 + x) + 2 = 4(x + 3) (-7 * 5 + x * 5) + 2 = 4(x + 3) (-35 + 5x) + 2 = 4(x + 3) Reorder the terms: -35 + 2 + 5x = 4(x + 3) Combine like terms: -35 + 2 = -33 -33 + 5x = 4(x + 3) Reorder the terms: -33 + 5x = 4(3 + x) -33 + 5x = (3 * 4 + x * 4) -33 + 5x = (12 + 4x) Solving -33 + 5x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -33 + 5x + -4x = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x -33 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -33 + 1x = 12 + 0 -33 + 1x = 12 Add '33' to each side of the equation. -33 + 33 + 1x = 12 + 33 Combine like terms: -33 + 33 = 0 0 + 1x = 12 + 33 1x = 12 + 33 Combine like terms: 12 + 33 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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