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Simplifying 7 + -5(x + -3) = 2(x + 4) + -3x Reorder the terms: 7 + -5(-3 + x) = 2(x + 4) + -3x 7 + (-3 * -5 + x * -5) = 2(x + 4) + -3x 7 + (15 + -5x) = 2(x + 4) + -3x Combine like terms: 7 + 15 = 22 22 + -5x = 2(x + 4) + -3x Reorder the terms: 22 + -5x = 2(4 + x) + -3x 22 + -5x = (4 * 2 + x * 2) + -3x 22 + -5x = (8 + 2x) + -3x Combine like terms: 2x + -3x = -1x 22 + -5x = 8 + -1x Solving 22 + -5x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 22 + -5x + x = 8 + -1x + x Combine like terms: -5x + x = -4x 22 + -4x = 8 + -1x + x Combine like terms: -1x + x = 0 22 + -4x = 8 + 0 22 + -4x = 8 Add '-22' to each side of the equation. 22 + -22 + -4x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + -4x = 8 + -22 -4x = 8 + -22 Combine like terms: 8 + -22 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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