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Simplifying 5(3x + 4) + -3x = 4 + 7(2x + -1) Reorder the terms: 5(4 + 3x) + -3x = 4 + 7(2x + -1) (4 * 5 + 3x * 5) + -3x = 4 + 7(2x + -1) (20 + 15x) + -3x = 4 + 7(2x + -1) Combine like terms: 15x + -3x = 12x 20 + 12x = 4 + 7(2x + -1) Reorder the terms: 20 + 12x = 4 + 7(-1 + 2x) 20 + 12x = 4 + (-1 * 7 + 2x * 7) 20 + 12x = 4 + (-7 + 14x) Combine like terms: 4 + -7 = -3 20 + 12x = -3 + 14x Solving 20 + 12x = -3 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 20 + 12x + -14x = -3 + 14x + -14x Combine like terms: 12x + -14x = -2x 20 + -2x = -3 + 14x + -14x Combine like terms: 14x + -14x = 0 20 + -2x = -3 + 0 20 + -2x = -3 Add '-20' to each side of the equation. 20 + -20 + -2x = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -3 + -20 -2x = -3 + -20 Combine like terms: -3 + -20 = -23 -2x = -23 Divide each side by '-2'. x = 11.5 Simplifying x = 11.5
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