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Simplifying 3(2x + -15) = 2(x + -3) + 1 Reorder the terms: 3(-15 + 2x) = 2(x + -3) + 1 (-15 * 3 + 2x * 3) = 2(x + -3) + 1 (-45 + 6x) = 2(x + -3) + 1 Reorder the terms: -45 + 6x = 2(-3 + x) + 1 -45 + 6x = (-3 * 2 + x * 2) + 1 -45 + 6x = (-6 + 2x) + 1 Reorder the terms: -45 + 6x = -6 + 1 + 2x Combine like terms: -6 + 1 = -5 -45 + 6x = -5 + 2x Solving -45 + 6x = -5 + 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. -45 + 6x + -2x = -5 + 2x + -2x Combine like terms: 6x + -2x = 4x -45 + 4x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 4x = -5 + 0 -45 + 4x = -5 Add '45' to each side of the equation. -45 + 45 + 4x = -5 + 45 Combine like terms: -45 + 45 = 0 0 + 4x = -5 + 45 4x = -5 + 45 Combine like terms: -5 + 45 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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