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Simplifying 4x + -2(5x + -3) = 14 + 3(5x + 11) Reorder the terms: 4x + -2(-3 + 5x) = 14 + 3(5x + 11) 4x + (-3 * -2 + 5x * -2) = 14 + 3(5x + 11) 4x + (6 + -10x) = 14 + 3(5x + 11) Reorder the terms: 6 + 4x + -10x = 14 + 3(5x + 11) Combine like terms: 4x + -10x = -6x 6 + -6x = 14 + 3(5x + 11) Reorder the terms: 6 + -6x = 14 + 3(11 + 5x) 6 + -6x = 14 + (11 * 3 + 5x * 3) 6 + -6x = 14 + (33 + 15x) Combine like terms: 14 + 33 = 47 6 + -6x = 47 + 15x Solving 6 + -6x = 47 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + -6x + -15x = 47 + 15x + -15x Combine like terms: -6x + -15x = -21x 6 + -21x = 47 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -21x = 47 + 0 6 + -21x = 47 Add '-6' to each side of the equation. 6 + -6 + -21x = 47 + -6 Combine like terms: 6 + -6 = 0 0 + -21x = 47 + -6 -21x = 47 + -6 Combine like terms: 47 + -6 = 41 -21x = 41 Divide each side by '-21'. x = -1.952380952 Simplifying x = -1.952380952
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