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Simplifying 10x + 7 + -6(x + -1) = 3(x + 3) Reorder the terms: 10x + 7 + -6(-1 + x) = 3(x + 3) 10x + 7 + (-1 * -6 + x * -6) = 3(x + 3) 10x + 7 + (6 + -6x) = 3(x + 3) Reorder the terms: 7 + 6 + 10x + -6x = 3(x + 3) Combine like terms: 7 + 6 = 13 13 + 10x + -6x = 3(x + 3) Combine like terms: 10x + -6x = 4x 13 + 4x = 3(x + 3) Reorder the terms: 13 + 4x = 3(3 + x) 13 + 4x = (3 * 3 + x * 3) 13 + 4x = (9 + 3x) Solving 13 + 4x = 9 + 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. 13 + 4x + -3x = 9 + 3x + -3x Combine like terms: 4x + -3x = 1x 13 + 1x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 1x = 9 + 0 13 + 1x = 9 Add '-13' to each side of the equation. 13 + -13 + 1x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 9 + -13 1x = 9 + -13 Combine like terms: 9 + -13 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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