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Simplifying 5x + -3(2x + -9) = 4(3x + -1) + 7 Reorder the terms: 5x + -3(-9 + 2x) = 4(3x + -1) + 7 5x + (-9 * -3 + 2x * -3) = 4(3x + -1) + 7 5x + (27 + -6x) = 4(3x + -1) + 7 Reorder the terms: 27 + 5x + -6x = 4(3x + -1) + 7 Combine like terms: 5x + -6x = -1x 27 + -1x = 4(3x + -1) + 7 Reorder the terms: 27 + -1x = 4(-1 + 3x) + 7 27 + -1x = (-1 * 4 + 3x * 4) + 7 27 + -1x = (-4 + 12x) + 7 Reorder the terms: 27 + -1x = -4 + 7 + 12x Combine like terms: -4 + 7 = 3 27 + -1x = 3 + 12x Solving 27 + -1x = 3 + 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 = 3 + 12x + -12x Combine like terms: -1x + -12x = -13x 27 + -13x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 27 + -13x = 3 + 0 27 + -13x = 3 Add '-27' to each side of the equation. 27 + -27 + -13x = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -13x = 3 + -27 -13x = 3 + -27 Combine like terms: 3 + -27 = -24 -13x = -24 Divide each side by '-13'. x = 1.846153846 Simplifying x = 1.846153846
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