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Simplifying 5x + -3(2x + -9) = 4(3x + -3) + 7 Reorder the terms: 5x + -3(-9 + 2x) = 4(3x + -3) + 7 5x + (-9 * -3 + 2x * -3) = 4(3x + -3) + 7 5x + (27 + -6x) = 4(3x + -3) + 7 Reorder the terms: 27 + 5x + -6x = 4(3x + -3) + 7 Combine like terms: 5x + -6x = -1x 27 + -1x = 4(3x + -3) + 7 Reorder the terms: 27 + -1x = 4(-3 + 3x) + 7 27 + -1x = (-3 * 4 + 3x * 4) + 7 27 + -1x = (-12 + 12x) + 7 Reorder the terms: 27 + -1x = -12 + 7 + 12x Combine like terms: -12 + 7 = -5 27 + -1x = -5 + 12x Solving 27 + -1x = -5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 27 + -1x + -12x = -5 + 12x + -12x Combine like terms: -1x + -12x = -13x 27 + -13x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 27 + -13x = -5 + 0 27 + -13x = -5 Add '-27' to each side of the equation. 27 + -27 + -13x = -5 + -27 Combine like terms: 27 + -27 = 0 0 + -13x = -5 + -27 -13x = -5 + -27 Combine like terms: -5 + -27 = -32 -13x = -32 Divide each side by '-13'. x = 2.461538462 Simplifying x = 2.461538462
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