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Simplifying 3(x + -2) + 4x = 10(x + 1) Reorder the terms: 3(-2 + x) + 4x = 10(x + 1) (-2 * 3 + x * 3) + 4x = 10(x + 1) (-6 + 3x) + 4x = 10(x + 1) Combine like terms: 3x + 4x = 7x -6 + 7x = 10(x + 1) Reorder the terms: -6 + 7x = 10(1 + x) -6 + 7x = (1 * 10 + x * 10) -6 + 7x = (10 + 10x) Solving -6 + 7x = 10 + 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. -6 + 7x + -10x = 10 + 10x + -10x Combine like terms: 7x + -10x = -3x -6 + -3x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -3x = 10 + 0 -6 + -3x = 10 Add '6' to each side of the equation. -6 + 6 + -3x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 10 + 6 -3x = 10 + 6 Combine like terms: 10 + 6 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333
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