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Simplifying 5x + -3(2x + -9) = 4(3 + -8) + 7x Reorder the terms: 5x + -3(-9 + 2x) = 4(3 + -8) + 7x 5x + (-9 * -3 + 2x * -3) = 4(3 + -8) + 7x 5x + (27 + -6x) = 4(3 + -8) + 7x Reorder the terms: 27 + 5x + -6x = 4(3 + -8) + 7x Combine like terms: 5x + -6x = -1x 27 + -1x = 4(3 + -8) + 7x Combine like terms: 3 + -8 = -5 27 + -1x = 4(-5) + 7x Multiply 4 * -5 27 + -1x = -20 + 7x Solving 27 + -1x = -20 + 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. 27 + -1x + -7x = -20 + 7x + -7x Combine like terms: -1x + -7x = -8x 27 + -8x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -8x = -20 + 0 27 + -8x = -20 Add '-27' to each side of the equation. 27 + -27 + -8x = -20 + -27 Combine like terms: 27 + -27 = 0 0 + -8x = -20 + -27 -8x = -20 + -27 Combine like terms: -20 + -27 = -47 -8x = -47 Divide each side by '-8'. x = 5.875 Simplifying x = 5.875
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