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Simplifying 5(x + -7) + -3x + 2 = 10x + 5 Reorder the terms: 5(-7 + x) + -3x + 2 = 10x + 5 (-7 * 5 + x * 5) + -3x + 2 = 10x + 5 (-35 + 5x) + -3x + 2 = 10x + 5 Reorder the terms: -35 + 2 + 5x + -3x = 10x + 5 Combine like terms: -35 + 2 = -33 -33 + 5x + -3x = 10x + 5 Combine like terms: 5x + -3x = 2x -33 + 2x = 10x + 5 Reorder the terms: -33 + 2x = 5 + 10x Solving -33 + 2x = 5 + 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. -33 + 2x + -10x = 5 + 10x + -10x Combine like terms: 2x + -10x = -8x -33 + -8x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 -33 + -8x = 5 + 0 -33 + -8x = 5 Add '33' to each side of the equation. -33 + 33 + -8x = 5 + 33 Combine like terms: -33 + 33 = 0 0 + -8x = 5 + 33 -8x = 5 + 33 Combine like terms: 5 + 33 = 38 -8x = 38 Divide each side by '-8'. x = -4.75 Simplifying x = -4.75
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