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Simplifying 3(2x + 3) + -4(5 + -3x) = x + -7 Reorder the terms: 3(3 + 2x) + -4(5 + -3x) = x + -7 (3 * 3 + 2x * 3) + -4(5 + -3x) = x + -7 (9 + 6x) + -4(5 + -3x) = x + -7 9 + 6x + (5 * -4 + -3x * -4) = x + -7 9 + 6x + (-20 + 12x) = x + -7 Reorder the terms: 9 + -20 + 6x + 12x = x + -7 Combine like terms: 9 + -20 = -11 -11 + 6x + 12x = x + -7 Combine like terms: 6x + 12x = 18x -11 + 18x = x + -7 Reorder the terms: -11 + 18x = -7 + x Solving -11 + 18x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + 18x + -1x = -7 + x + -1x Combine like terms: 18x + -1x = 17x -11 + 17x = -7 + x + -1x Combine like terms: x + -1x = 0 -11 + 17x = -7 + 0 -11 + 17x = -7 Add '11' to each side of the equation. -11 + 11 + 17x = -7 + 11 Combine like terms: -11 + 11 = 0 0 + 17x = -7 + 11 17x = -7 + 11 Combine like terms: -7 + 11 = 4 17x = 4 Divide each side by '17'. x = 0.2352941176 Simplifying x = 0.2352941176
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