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Simplifying 8(3x + 5) = 3(x + 2) + -19 Reorder the terms: 8(5 + 3x) = 3(x + 2) + -19 (5 * 8 + 3x * 8) = 3(x + 2) + -19 (40 + 24x) = 3(x + 2) + -19 Reorder the terms: 40 + 24x = 3(2 + x) + -19 40 + 24x = (2 * 3 + x * 3) + -19 40 + 24x = (6 + 3x) + -19 Reorder the terms: 40 + 24x = 6 + -19 + 3x Combine like terms: 6 + -19 = -13 40 + 24x = -13 + 3x Solving 40 + 24x = -13 + 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. 40 + 24x + -3x = -13 + 3x + -3x Combine like terms: 24x + -3x = 21x 40 + 21x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + 21x = -13 + 0 40 + 21x = -13 Add '-40' to each side of the equation. 40 + -40 + 21x = -13 + -40 Combine like terms: 40 + -40 = 0 0 + 21x = -13 + -40 21x = -13 + -40 Combine like terms: -13 + -40 = -53 21x = -53 Divide each side by '21'. x = -2.523809524 Simplifying x = -2.523809524
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