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Simplifying -2(x + 5) + 4 = 3(x + 3) + 6 Reorder the terms: -2(5 + x) + 4 = 3(x + 3) + 6 (5 * -2 + x * -2) + 4 = 3(x + 3) + 6 (-10 + -2x) + 4 = 3(x + 3) + 6 Reorder the terms: -10 + 4 + -2x = 3(x + 3) + 6 Combine like terms: -10 + 4 = -6 -6 + -2x = 3(x + 3) + 6 Reorder the terms: -6 + -2x = 3(3 + x) + 6 -6 + -2x = (3 * 3 + x * 3) + 6 -6 + -2x = (9 + 3x) + 6 Reorder the terms: -6 + -2x = 9 + 6 + 3x Combine like terms: 9 + 6 = 15 -6 + -2x = 15 + 3x Solving -6 + -2x = 15 + 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. -6 + -2x + -3x = 15 + 3x + -3x Combine like terms: -2x + -3x = -5x -6 + -5x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -5x = 15 + 0 -6 + -5x = 15 Add '6' to each side of the equation. -6 + 6 + -5x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 15 + 6 -5x = 15 + 6 Combine like terms: 15 + 6 = 21 -5x = 21 Divide each side by '-5'. x = -4.2 Simplifying x = -4.2
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