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Simplifying 6 + 3(x + -9) = 7x + 15 Reorder the terms: 6 + 3(-9 + x) = 7x + 15 6 + (-9 * 3 + x * 3) = 7x + 15 6 + (-27 + 3x) = 7x + 15 Combine like terms: 6 + -27 = -21 -21 + 3x = 7x + 15 Reorder the terms: -21 + 3x = 15 + 7x Solving -21 + 3x = 15 + 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. -21 + 3x + -7x = 15 + 7x + -7x Combine like terms: 3x + -7x = -4x -21 + -4x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -4x = 15 + 0 -21 + -4x = 15 Add '21' to each side of the equation. -21 + 21 + -4x = 15 + 21 Combine like terms: -21 + 21 = 0 0 + -4x = 15 + 21 -4x = 15 + 21 Combine like terms: 15 + 21 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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