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Simplifying 5(x + 3) + -10 = 4x + 8 + -2x Reorder the terms: 5(3 + x) + -10 = 4x + 8 + -2x (3 * 5 + x * 5) + -10 = 4x + 8 + -2x (15 + 5x) + -10 = 4x + 8 + -2x Reorder the terms: 15 + -10 + 5x = 4x + 8 + -2x Combine like terms: 15 + -10 = 5 5 + 5x = 4x + 8 + -2x Reorder the terms: 5 + 5x = 8 + 4x + -2x Combine like terms: 4x + -2x = 2x 5 + 5x = 8 + 2x Solving 5 + 5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x 5 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 3x = 8 + 0 5 + 3x = 8 Add '-5' to each side of the equation. 5 + -5 + 3x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 8 + -5 3x = 8 + -5 Combine like terms: 8 + -5 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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