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Simplifying 5(2x + -7) + -13x = x + -49 Reorder the terms: 5(-7 + 2x) + -13x = x + -49 (-7 * 5 + 2x * 5) + -13x = x + -49 (-35 + 10x) + -13x = x + -49 Combine like terms: 10x + -13x = -3x -35 + -3x = x + -49 Reorder the terms: -35 + -3x = -49 + x Solving -35 + -3x = -49 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -35 + -3x + -1x = -49 + x + -1x Combine like terms: -3x + -1x = -4x -35 + -4x = -49 + x + -1x Combine like terms: x + -1x = 0 -35 + -4x = -49 + 0 -35 + -4x = -49 Add '35' to each side of the equation. -35 + 35 + -4x = -49 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = -49 + 35 -4x = -49 + 35 Combine like terms: -49 + 35 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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