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Simplifying 10x + -4 = 3(x + -2) + 9 Reorder the terms: -4 + 10x = 3(x + -2) + 9 Reorder the terms: -4 + 10x = 3(-2 + x) + 9 -4 + 10x = (-2 * 3 + x * 3) + 9 -4 + 10x = (-6 + 3x) + 9 Reorder the terms: -4 + 10x = -6 + 9 + 3x Combine like terms: -6 + 9 = 3 -4 + 10x = 3 + 3x Solving -4 + 10x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 10x + -3x = 3 + 3x + -3x Combine like terms: 10x + -3x = 7x -4 + 7x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 7x = 3 + 0 -4 + 7x = 3 Add '4' to each side of the equation. -4 + 4 + 7x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 3 + 4 7x = 3 + 4 Combine like terms: 3 + 4 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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