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Simplifying 3x + 3(x + -3) = 7x + 6 Reorder the terms: 3x + 3(-3 + x) = 7x + 6 3x + (-3 * 3 + x * 3) = 7x + 6 3x + (-9 + 3x) = 7x + 6 Reorder the terms: -9 + 3x + 3x = 7x + 6 Combine like terms: 3x + 3x = 6x -9 + 6x = 7x + 6 Reorder the terms: -9 + 6x = 6 + 7x Solving -9 + 6x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 6x + -7x = 6 + 7x + -7x Combine like terms: 6x + -7x = -1x -9 + -1x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -1x = 6 + 0 -9 + -1x = 6 Add '9' to each side of the equation. -9 + 9 + -1x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 6 + 9 -1x = 6 + 9 Combine like terms: 6 + 9 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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