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Simplifying 2(x + -4) + 5x = 10x + 3 + 1 Reorder the terms: 2(-4 + x) + 5x = 10x + 3 + 1 (-4 * 2 + x * 2) + 5x = 10x + 3 + 1 (-8 + 2x) + 5x = 10x + 3 + 1 Combine like terms: 2x + 5x = 7x -8 + 7x = 10x + 3 + 1 Reorder the terms: -8 + 7x = 3 + 1 + 10x Combine like terms: 3 + 1 = 4 -8 + 7x = 4 + 10x Solving -8 + 7x = 4 + 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. -8 + 7x + -10x = 4 + 10x + -10x Combine like terms: 7x + -10x = -3x -8 + -3x = 4 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -3x = 4 + 0 -8 + -3x = 4 Add '8' to each side of the equation. -8 + 8 + -3x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 4 + 8 -3x = 4 + 8 Combine like terms: 4 + 8 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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