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Simplifying 4(8 + -2x) + 2x = 5(9 + 3x) (8 * 4 + -2x * 4) + 2x = 5(9 + 3x) (32 + -8x) + 2x = 5(9 + 3x) Combine like terms: -8x + 2x = -6x 32 + -6x = 5(9 + 3x) 32 + -6x = (9 * 5 + 3x * 5) 32 + -6x = (45 + 15x) Solving 32 + -6x = 45 + 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. 32 + -6x + -15x = 45 + 15x + -15x Combine like terms: -6x + -15x = -21x 32 + -21x = 45 + 15x + -15x Combine like terms: 15x + -15x = 0 32 + -21x = 45 + 0 32 + -21x = 45 Add '-32' to each side of the equation. 32 + -32 + -21x = 45 + -32 Combine like terms: 32 + -32 = 0 0 + -21x = 45 + -32 -21x = 45 + -32 Combine like terms: 45 + -32 = 13 -21x = 13 Divide each side by '-21'. x = -0.619047619 Simplifying x = -0.619047619
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