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Simplifying 15(2x + -1) = 21(3x + -7) Reorder the terms: 15(-1 + 2x) = 21(3x + -7) (-1 * 15 + 2x * 15) = 21(3x + -7) (-15 + 30x) = 21(3x + -7) Reorder the terms: -15 + 30x = 21(-7 + 3x) -15 + 30x = (-7 * 21 + 3x * 21) -15 + 30x = (-147 + 63x) Solving -15 + 30x = -147 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. -15 + 30x + -63x = -147 + 63x + -63x Combine like terms: 30x + -63x = -33x -15 + -33x = -147 + 63x + -63x Combine like terms: 63x + -63x = 0 -15 + -33x = -147 + 0 -15 + -33x = -147 Add '15' to each side of the equation. -15 + 15 + -33x = -147 + 15 Combine like terms: -15 + 15 = 0 0 + -33x = -147 + 15 -33x = -147 + 15 Combine like terms: -147 + 15 = -132 -33x = -132 Divide each side by '-33'. x = 4 Simplifying x = 4
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