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Simplifying 3(5x + -2) + 2(2x + 3) = 3x + -48 Reorder the terms: 3(-2 + 5x) + 2(2x + 3) = 3x + -48 (-2 * 3 + 5x * 3) + 2(2x + 3) = 3x + -48 (-6 + 15x) + 2(2x + 3) = 3x + -48 Reorder the terms: -6 + 15x + 2(3 + 2x) = 3x + -48 -6 + 15x + (3 * 2 + 2x * 2) = 3x + -48 -6 + 15x + (6 + 4x) = 3x + -48 Reorder the terms: -6 + 6 + 15x + 4x = 3x + -48 Combine like terms: -6 + 6 = 0 0 + 15x + 4x = 3x + -48 15x + 4x = 3x + -48 Combine like terms: 15x + 4x = 19x 19x = 3x + -48 Reorder the terms: 19x = -48 + 3x Solving 19x = -48 + 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. 19x + -3x = -48 + 3x + -3x Combine like terms: 19x + -3x = 16x 16x = -48 + 3x + -3x Combine like terms: 3x + -3x = 0 16x = -48 + 0 16x = -48 Divide each side by '16'. x = -3 Simplifying x = -3
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