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Simplifying 5(2 + -3x) = 7(3x + 4) + x (2 * 5 + -3x * 5) = 7(3x + 4) + x (10 + -15x) = 7(3x + 4) + x Reorder the terms: 10 + -15x = 7(4 + 3x) + x 10 + -15x = (4 * 7 + 3x * 7) + x 10 + -15x = (28 + 21x) + x Combine like terms: 21x + x = 22x 10 + -15x = 28 + 22x Solving 10 + -15x = 28 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 10 + -15x + -22x = 28 + 22x + -22x Combine like terms: -15x + -22x = -37x 10 + -37x = 28 + 22x + -22x Combine like terms: 22x + -22x = 0 10 + -37x = 28 + 0 10 + -37x = 28 Add '-10' to each side of the equation. 10 + -10 + -37x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + -37x = 28 + -10 -37x = 28 + -10 Combine like terms: 28 + -10 = 18 -37x = 18 Divide each side by '-37'. x = -0.4864864865 Simplifying x = -0.4864864865
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