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Simplifying 2(5x + 1) + -4(3x + -2) = 5 + 8(x + 3) Reorder the terms: 2(1 + 5x) + -4(3x + -2) = 5 + 8(x + 3) (1 * 2 + 5x * 2) + -4(3x + -2) = 5 + 8(x + 3) (2 + 10x) + -4(3x + -2) = 5 + 8(x + 3) Reorder the terms: 2 + 10x + -4(-2 + 3x) = 5 + 8(x + 3) 2 + 10x + (-2 * -4 + 3x * -4) = 5 + 8(x + 3) 2 + 10x + (8 + -12x) = 5 + 8(x + 3) Reorder the terms: 2 + 8 + 10x + -12x = 5 + 8(x + 3) Combine like terms: 2 + 8 = 10 10 + 10x + -12x = 5 + 8(x + 3) Combine like terms: 10x + -12x = -2x 10 + -2x = 5 + 8(x + 3) Reorder the terms: 10 + -2x = 5 + 8(3 + x) 10 + -2x = 5 + (3 * 8 + x * 8) 10 + -2x = 5 + (24 + 8x) Combine like terms: 5 + 24 = 29 10 + -2x = 29 + 8x Solving 10 + -2x = 29 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + -2x + -8x = 29 + 8x + -8x Combine like terms: -2x + -8x = -10x 10 + -10x = 29 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -10x = 29 + 0 10 + -10x = 29 Add '-10' to each side of the equation. 10 + -10 + -10x = 29 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 29 + -10 -10x = 29 + -10 Combine like terms: 29 + -10 = 19 -10x = 19 Divide each side by '-10'. x = -1.9 Simplifying x = -1.9
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