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Simplifying 19 + 8(4 + -3x) = 3(5x + 4) 19 + (4 * 8 + -3x * 8) = 3(5x + 4) 19 + (32 + -24x) = 3(5x + 4) Combine like terms: 19 + 32 = 51 51 + -24x = 3(5x + 4) Reorder the terms: 51 + -24x = 3(4 + 5x) 51 + -24x = (4 * 3 + 5x * 3) 51 + -24x = (12 + 15x) Solving 51 + -24x = 12 + 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. 51 + -24x + -15x = 12 + 15x + -15x Combine like terms: -24x + -15x = -39x 51 + -39x = 12 + 15x + -15x Combine like terms: 15x + -15x = 0 51 + -39x = 12 + 0 51 + -39x = 12 Add '-51' to each side of the equation. 51 + -51 + -39x = 12 + -51 Combine like terms: 51 + -51 = 0 0 + -39x = 12 + -51 -39x = 12 + -51 Combine like terms: 12 + -51 = -39 -39x = -39 Divide each side by '-39'. x = 1 Simplifying x = 1
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