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