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Simplifying 2x + -49 = 2(5x + -2) + 3 Reorder the terms: -49 + 2x = 2(5x + -2) + 3 Reorder the terms: -49 + 2x = 2(-2 + 5x) + 3 -49 + 2x = (-2 * 2 + 5x * 2) + 3 -49 + 2x = (-4 + 10x) + 3 Reorder the terms: -49 + 2x = -4 + 3 + 10x Combine like terms: -4 + 3 = -1 -49 + 2x = -1 + 10x Solving -49 + 2x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -49 + 2x + -10x = -1 + 10x + -10x Combine like terms: 2x + -10x = -8x -49 + -8x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -49 + -8x = -1 + 0 -49 + -8x = -1 Add '49' to each side of the equation. -49 + 49 + -8x = -1 + 49 Combine like terms: -49 + 49 = 0 0 + -8x = -1 + 49 -8x = -1 + 49 Combine like terms: -1 + 49 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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