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Simplifying 3(x + -2) + 4 = 10(x + 1) Reorder the terms: 3(-2 + x) + 4 = 10(x + 1) (-2 * 3 + x * 3) + 4 = 10(x + 1) (-6 + 3x) + 4 = 10(x + 1) Reorder the terms: -6 + 4 + 3x = 10(x + 1) Combine like terms: -6 + 4 = -2 -2 + 3x = 10(x + 1) Reorder the terms: -2 + 3x = 10(1 + x) -2 + 3x = (1 * 10 + x * 10) -2 + 3x = (10 + 10x) Solving -2 + 3x = 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. -2 + 3x + -10x = 10 + 10x + -10x Combine like terms: 3x + -10x = -7x -2 + -7x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -7x = 10 + 0 -2 + -7x = 10 Add '2' to each side of the equation. -2 + 2 + -7x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 10 + 2 -7x = 10 + 2 Combine like terms: 10 + 2 = 12 -7x = 12 Divide each side by '-7'. x = -1.714285714 Simplifying x = -1.714285714
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