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Simplifying 2(4x + 10) + -5 = 10x + -19 Reorder the terms: 2(10 + 4x) + -5 = 10x + -19 (10 * 2 + 4x * 2) + -5 = 10x + -19 (20 + 8x) + -5 = 10x + -19 Reorder the terms: 20 + -5 + 8x = 10x + -19 Combine like terms: 20 + -5 = 15 15 + 8x = 10x + -19 Reorder the terms: 15 + 8x = -19 + 10x Solving 15 + 8x = -19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + 8x + -10x = -19 + 10x + -10x Combine like terms: 8x + -10x = -2x 15 + -2x = -19 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -2x = -19 + 0 15 + -2x = -19 Add '-15' to each side of the equation. 15 + -15 + -2x = -19 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = -19 + -15 -2x = -19 + -15 Combine like terms: -19 + -15 = -34 -2x = -34 Divide each side by '-2'. x = 17 Simplifying x = 17
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