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Simplifying 7x + -10 = 3(x + 1) + -9 Reorder the terms: -10 + 7x = 3(x + 1) + -9 Reorder the terms: -10 + 7x = 3(1 + x) + -9 -10 + 7x = (1 * 3 + x * 3) + -9 -10 + 7x = (3 + 3x) + -9 Reorder the terms: -10 + 7x = 3 + -9 + 3x Combine like terms: 3 + -9 = -6 -10 + 7x = -6 + 3x Solving -10 + 7x = -6 + 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. -10 + 7x + -3x = -6 + 3x + -3x Combine like terms: 7x + -3x = 4x -10 + 4x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 4x = -6 + 0 -10 + 4x = -6 Add '10' to each side of the equation. -10 + 10 + 4x = -6 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = -6 + 10 4x = -6 + 10 Combine like terms: -6 + 10 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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