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Simplifying 5(x + -3) = 2(x + -2) + 3 Reorder the terms: 5(-3 + x) = 2(x + -2) + 3 (-3 * 5 + x * 5) = 2(x + -2) + 3 (-15 + 5x) = 2(x + -2) + 3 Reorder the terms: -15 + 5x = 2(-2 + x) + 3 -15 + 5x = (-2 * 2 + x * 2) + 3 -15 + 5x = (-4 + 2x) + 3 Reorder the terms: -15 + 5x = -4 + 3 + 2x Combine like terms: -4 + 3 = -1 -15 + 5x = -1 + 2x Solving -15 + 5x = -1 + 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. -15 + 5x + -2x = -1 + 2x + -2x Combine like terms: 5x + -2x = 3x -15 + 3x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 3x = -1 + 0 -15 + 3x = -1 Add '15' to each side of the equation. -15 + 15 + 3x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = -1 + 15 3x = -1 + 15 Combine like terms: -1 + 15 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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