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Simplifying 2(2x + 1) + -15 = 3(2x + -3) Reorder the terms: 2(1 + 2x) + -15 = 3(2x + -3) (1 * 2 + 2x * 2) + -15 = 3(2x + -3) (2 + 4x) + -15 = 3(2x + -3) Reorder the terms: 2 + -15 + 4x = 3(2x + -3) Combine like terms: 2 + -15 = -13 -13 + 4x = 3(2x + -3) Reorder the terms: -13 + 4x = 3(-3 + 2x) -13 + 4x = (-3 * 3 + 2x * 3) -13 + 4x = (-9 + 6x) Solving -13 + 4x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -13 + 4x + -6x = -9 + 6x + -6x Combine like terms: 4x + -6x = -2x -13 + -2x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -2x = -9 + 0 -13 + -2x = -9 Add '13' to each side of the equation. -13 + 13 + -2x = -9 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = -9 + 13 -2x = -9 + 13 Combine like terms: -9 + 13 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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