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Simplifying 9 + -3x + -2(x + -5) = 4x + 7 + -1x Reorder the terms: 9 + -3x + -2(-5 + x) = 4x + 7 + -1x 9 + -3x + (-5 * -2 + x * -2) = 4x + 7 + -1x 9 + -3x + (10 + -2x) = 4x + 7 + -1x Reorder the terms: 9 + 10 + -3x + -2x = 4x + 7 + -1x Combine like terms: 9 + 10 = 19 19 + -3x + -2x = 4x + 7 + -1x Combine like terms: -3x + -2x = -5x 19 + -5x = 4x + 7 + -1x Reorder the terms: 19 + -5x = 7 + 4x + -1x Combine like terms: 4x + -1x = 3x 19 + -5x = 7 + 3x Solving 19 + -5x = 7 + 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. 19 + -5x + -3x = 7 + 3x + -3x Combine like terms: -5x + -3x = -8x 19 + -8x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + -8x = 7 + 0 19 + -8x = 7 Add '-19' to each side of the equation. 19 + -19 + -8x = 7 + -19 Combine like terms: 19 + -19 = 0 0 + -8x = 7 + -19 -8x = 7 + -19 Combine like terms: 7 + -19 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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