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Simplifying 5x + -3(2x + -9) = 5(3x + -7) + 9x Reorder the terms: 5x + -3(-9 + 2x) = 5(3x + -7) + 9x 5x + (-9 * -3 + 2x * -3) = 5(3x + -7) + 9x 5x + (27 + -6x) = 5(3x + -7) + 9x Reorder the terms: 27 + 5x + -6x = 5(3x + -7) + 9x Combine like terms: 5x + -6x = -1x 27 + -1x = 5(3x + -7) + 9x Reorder the terms: 27 + -1x = 5(-7 + 3x) + 9x 27 + -1x = (-7 * 5 + 3x * 5) + 9x 27 + -1x = (-35 + 15x) + 9x Combine like terms: 15x + 9x = 24x 27 + -1x = -35 + 24x Solving 27 + -1x = -35 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 27 + -1x + -24x = -35 + 24x + -24x Combine like terms: -1x + -24x = -25x 27 + -25x = -35 + 24x + -24x Combine like terms: 24x + -24x = 0 27 + -25x = -35 + 0 27 + -25x = -35 Add '-27' to each side of the equation. 27 + -27 + -25x = -35 + -27 Combine like terms: 27 + -27 = 0 0 + -25x = -35 + -27 -25x = -35 + -27 Combine like terms: -35 + -27 = -62 -25x = -62 Divide each side by '-25'. x = 2.48 Simplifying x = 2.48
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