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Simplifying 5(3x + -3) + 2(2x + 2) = 3x + 37 Reorder the terms: 5(-3 + 3x) + 2(2x + 2) = 3x + 37 (-3 * 5 + 3x * 5) + 2(2x + 2) = 3x + 37 (-15 + 15x) + 2(2x + 2) = 3x + 37 Reorder the terms: -15 + 15x + 2(2 + 2x) = 3x + 37 -15 + 15x + (2 * 2 + 2x * 2) = 3x + 37 -15 + 15x + (4 + 4x) = 3x + 37 Reorder the terms: -15 + 4 + 15x + 4x = 3x + 37 Combine like terms: -15 + 4 = -11 -11 + 15x + 4x = 3x + 37 Combine like terms: 15x + 4x = 19x -11 + 19x = 3x + 37 Reorder the terms: -11 + 19x = 37 + 3x Solving -11 + 19x = 37 + 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. -11 + 19x + -3x = 37 + 3x + -3x Combine like terms: 19x + -3x = 16x -11 + 16x = 37 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 16x = 37 + 0 -11 + 16x = 37 Add '11' to each side of the equation. -11 + 11 + 16x = 37 + 11 Combine like terms: -11 + 11 = 0 0 + 16x = 37 + 11 16x = 37 + 11 Combine like terms: 37 + 11 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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