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Simplifying 5(x + 2) + -4x = 3x + -8x + 7 Reorder the terms: 5(2 + x) + -4x = 3x + -8x + 7 (2 * 5 + x * 5) + -4x = 3x + -8x + 7 (10 + 5x) + -4x = 3x + -8x + 7 Combine like terms: 5x + -4x = 1x 10 + 1x = 3x + -8x + 7 Reorder the terms: 10 + 1x = 7 + 3x + -8x Combine like terms: 3x + -8x = -5x 10 + 1x = 7 + -5x Solving 10 + 1x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + 1x + 5x = 7 + -5x + 5x Combine like terms: 1x + 5x = 6x 10 + 6x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + 6x = 7 + 0 10 + 6x = 7 Add '-10' to each side of the equation. 10 + -10 + 6x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 7 + -10 6x = 7 + -10 Combine like terms: 7 + -10 = -3 6x = -3 Divide each side by '6'. x = -0.5 Simplifying x = -0.5
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