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Simplifying 8(6 + -3x) = 5x + -1(8x + -14) (6 * 8 + -3x * 8) = 5x + -1(8x + -14) (48 + -24x) = 5x + -1(8x + -14) Reorder the terms: 48 + -24x = 5x + -1(-14 + 8x) 48 + -24x = 5x + (-14 * -1 + 8x * -1) 48 + -24x = 5x + (14 + -8x) Reorder the terms: 48 + -24x = 14 + 5x + -8x Combine like terms: 5x + -8x = -3x 48 + -24x = 14 + -3x Solving 48 + -24x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 48 + -24x + 3x = 14 + -3x + 3x Combine like terms: -24x + 3x = -21x 48 + -21x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 48 + -21x = 14 + 0 48 + -21x = 14 Add '-48' to each side of the equation. 48 + -48 + -21x = 14 + -48 Combine like terms: 48 + -48 = 0 0 + -21x = 14 + -48 -21x = 14 + -48 Combine like terms: 14 + -48 = -34 -21x = -34 Divide each side by '-21'. x = 1.619047619 Simplifying x = 1.619047619
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