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Simplifying -5(-2x + 3) + 3 = -3x + 40 Reorder the terms: -5(3 + -2x) + 3 = -3x + 40 (3 * -5 + -2x * -5) + 3 = -3x + 40 (-15 + 10x) + 3 = -3x + 40 Reorder the terms: -15 + 3 + 10x = -3x + 40 Combine like terms: -15 + 3 = -12 -12 + 10x = -3x + 40 Reorder the terms: -12 + 10x = 40 + -3x Solving -12 + 10x = 40 + -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. -12 + 10x + 3x = 40 + -3x + 3x Combine like terms: 10x + 3x = 13x -12 + 13x = 40 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 13x = 40 + 0 -12 + 13x = 40 Add '12' to each side of the equation. -12 + 12 + 13x = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 40 + 12 13x = 40 + 12 Combine like terms: 40 + 12 = 52 13x = 52 Divide each side by '13'. x = 4 Simplifying x = 4
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