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Simplifying 3(x + -7) = 2(2x + -15) Reorder the terms: 3(-7 + x) = 2(2x + -15) (-7 * 3 + x * 3) = 2(2x + -15) (-21 + 3x) = 2(2x + -15) Reorder the terms: -21 + 3x = 2(-15 + 2x) -21 + 3x = (-15 * 2 + 2x * 2) -21 + 3x = (-30 + 4x) Solving -21 + 3x = -30 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 3x + -4x = -30 + 4x + -4x Combine like terms: 3x + -4x = -1x -21 + -1x = -30 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + -1x = -30 + 0 -21 + -1x = -30 Add '21' to each side of the equation. -21 + 21 + -1x = -30 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = -30 + 21 -1x = -30 + 21 Combine like terms: -30 + 21 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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