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Simplifying 7x + 3(x + -2) = 6(x + 1) + -3 Reorder the terms: 7x + 3(-2 + x) = 6(x + 1) + -3 7x + (-2 * 3 + x * 3) = 6(x + 1) + -3 7x + (-6 + 3x) = 6(x + 1) + -3 Reorder the terms: -6 + 7x + 3x = 6(x + 1) + -3 Combine like terms: 7x + 3x = 10x -6 + 10x = 6(x + 1) + -3 Reorder the terms: -6 + 10x = 6(1 + x) + -3 -6 + 10x = (1 * 6 + x * 6) + -3 -6 + 10x = (6 + 6x) + -3 Reorder the terms: -6 + 10x = 6 + -3 + 6x Combine like terms: 6 + -3 = 3 -6 + 10x = 3 + 6x Solving -6 + 10x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 10x + -6x = 3 + 6x + -6x Combine like terms: 10x + -6x = 4x -6 + 4x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 4x = 3 + 0 -6 + 4x = 3 Add '6' to each side of the equation. -6 + 6 + 4x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 3 + 6 4x = 3 + 6 Combine like terms: 3 + 6 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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