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Simplifying 7(2x + -9) = 2(4x + -3) + -15 Reorder the terms: 7(-9 + 2x) = 2(4x + -3) + -15 (-9 * 7 + 2x * 7) = 2(4x + -3) + -15 (-63 + 14x) = 2(4x + -3) + -15 Reorder the terms: -63 + 14x = 2(-3 + 4x) + -15 -63 + 14x = (-3 * 2 + 4x * 2) + -15 -63 + 14x = (-6 + 8x) + -15 Reorder the terms: -63 + 14x = -6 + -15 + 8x Combine like terms: -6 + -15 = -21 -63 + 14x = -21 + 8x Solving -63 + 14x = -21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -63 + 14x + -8x = -21 + 8x + -8x Combine like terms: 14x + -8x = 6x -63 + 6x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 -63 + 6x = -21 + 0 -63 + 6x = -21 Add '63' to each side of the equation. -63 + 63 + 6x = -21 + 63 Combine like terms: -63 + 63 = 0 0 + 6x = -21 + 63 6x = -21 + 63 Combine like terms: -21 + 63 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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