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Simplifying 3(2x + -5) + 1 = 2(x + -3) Reorder the terms: 3(-5 + 2x) + 1 = 2(x + -3) (-5 * 3 + 2x * 3) + 1 = 2(x + -3) (-15 + 6x) + 1 = 2(x + -3) Reorder the terms: -15 + 1 + 6x = 2(x + -3) Combine like terms: -15 + 1 = -14 -14 + 6x = 2(x + -3) Reorder the terms: -14 + 6x = 2(-3 + x) -14 + 6x = (-3 * 2 + x * 2) -14 + 6x = (-6 + 2x) Solving -14 + 6x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -14 + 6x + -2x = -6 + 2x + -2x Combine like terms: 6x + -2x = 4x -14 + 4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 4x = -6 + 0 -14 + 4x = -6 Add '14' to each side of the equation. -14 + 14 + 4x = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = -6 + 14 4x = -6 + 14 Combine like terms: -6 + 14 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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