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Simplifying 3x + -5 = 2(x + -2) + -3 + -5 Reorder the terms: -5 + 3x = 2(x + -2) + -3 + -5 Reorder the terms: -5 + 3x = 2(-2 + x) + -3 + -5 -5 + 3x = (-2 * 2 + x * 2) + -3 + -5 -5 + 3x = (-4 + 2x) + -3 + -5 Reorder the terms: -5 + 3x = -4 + -3 + -5 + 2x Combine like terms: -4 + -3 = -7 -5 + 3x = -7 + -5 + 2x Combine like terms: -7 + -5 = -12 -5 + 3x = -12 + 2x Solving -5 + 3x = -12 + 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. -5 + 3x + -2x = -12 + 2x + -2x Combine like terms: 3x + -2x = 1x -5 + 1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 1x = -12 + 0 -5 + 1x = -12 Add '5' to each side of the equation. -5 + 5 + 1x = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -12 + 5 1x = -12 + 5 Combine like terms: -12 + 5 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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