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Simplifying 5[4(2x + -9) + -4(2x + -6)] = 7x + -123 Reorder the terms: 5[4(-9 + 2x) + -4(2x + -6)] = 7x + -123 5[(-9 * 4 + 2x * 4) + -4(2x + -6)] = 7x + -123 5[(-36 + 8x) + -4(2x + -6)] = 7x + -123 Reorder the terms: 5[-36 + 8x + -4(-6 + 2x)] = 7x + -123 5[-36 + 8x + (-6 * -4 + 2x * -4)] = 7x + -123 5[-36 + 8x + (24 + -8x)] = 7x + -123 Reorder the terms: 5[-36 + 24 + 8x + -8x] = 7x + -123 Combine like terms: -36 + 24 = -12 5[-12 + 8x + -8x] = 7x + -123 Combine like terms: 8x + -8x = 0 5[-12 + 0] = 7x + -123 5[-12] = 7x + -123 Multiply 5 * -12 -60 = 7x + -123 Reorder the terms: -60 = -123 + 7x Solving -60 = -123 + 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. -60 + -7x = -123 + 7x + -7x Combine like terms: 7x + -7x = 0 -60 + -7x = -123 + 0 -60 + -7x = -123 Add '60' to each side of the equation. -60 + 60 + -7x = -123 + 60 Combine like terms: -60 + 60 = 0 0 + -7x = -123 + 60 -7x = -123 + 60 Combine like terms: -123 + 60 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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