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Simplifying 5x + -3(2x + -9) = 4(3x + -8) + 7x Reorder the terms: 5x + -3(-9 + 2x) = 4(3x + -8) + 7x 5x + (-9 * -3 + 2x * -3) = 4(3x + -8) + 7x 5x + (27 + -6x) = 4(3x + -8) + 7x Reorder the terms: 27 + 5x + -6x = 4(3x + -8) + 7x Combine like terms: 5x + -6x = -1x 27 + -1x = 4(3x + -8) + 7x Reorder the terms: 27 + -1x = 4(-8 + 3x) + 7x 27 + -1x = (-8 * 4 + 3x * 4) + 7x 27 + -1x = (-32 + 12x) + 7x Combine like terms: 12x + 7x = 19x 27 + -1x = -32 + 19x Solving 27 + -1x = -32 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 27 + -1x + -19x = -32 + 19x + -19x Combine like terms: -1x + -19x = -20x 27 + -20x = -32 + 19x + -19x Combine like terms: 19x + -19x = 0 27 + -20x = -32 + 0 27 + -20x = -32 Add '-27' to each side of the equation. 27 + -27 + -20x = -32 + -27 Combine like terms: 27 + -27 = 0 0 + -20x = -32 + -27 -20x = -32 + -27 Combine like terms: -32 + -27 = -59 -20x = -59 Divide each side by '-20'. x = 2.95 Simplifying x = 2.95
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