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Simplifying 5(x + 2) + -3 = 3x + -8x + 10 + -7 Reorder the terms: 5(2 + x) + -3 = 3x + -8x + 10 + -7 (2 * 5 + x * 5) + -3 = 3x + -8x + 10 + -7 (10 + 5x) + -3 = 3x + -8x + 10 + -7 Reorder the terms: 10 + -3 + 5x = 3x + -8x + 10 + -7 Combine like terms: 10 + -3 = 7 7 + 5x = 3x + -8x + 10 + -7 Reorder the terms: 7 + 5x = 10 + -7 + 3x + -8x Combine like terms: 10 + -7 = 3 7 + 5x = 3 + 3x + -8x Combine like terms: 3x + -8x = -5x 7 + 5x = 3 + -5x Solving 7 + 5x = 3 + -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. 7 + 5x + 5x = 3 + -5x + 5x Combine like terms: 5x + 5x = 10x 7 + 10x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 7 + 10x = 3 + 0 7 + 10x = 3 Add '-7' to each side of the equation. 7 + -7 + 10x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 3 + -7 10x = 3 + -7 Combine like terms: 3 + -7 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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