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Simplifying 8(3x + 4) = 9(x + -6) + 19 Reorder the terms: 8(4 + 3x) = 9(x + -6) + 19 (4 * 8 + 3x * 8) = 9(x + -6) + 19 (32 + 24x) = 9(x + -6) + 19 Reorder the terms: 32 + 24x = 9(-6 + x) + 19 32 + 24x = (-6 * 9 + x * 9) + 19 32 + 24x = (-54 + 9x) + 19 Reorder the terms: 32 + 24x = -54 + 19 + 9x Combine like terms: -54 + 19 = -35 32 + 24x = -35 + 9x Solving 32 + 24x = -35 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 32 + 24x + -9x = -35 + 9x + -9x Combine like terms: 24x + -9x = 15x 32 + 15x = -35 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + 15x = -35 + 0 32 + 15x = -35 Add '-32' to each side of the equation. 32 + -32 + 15x = -35 + -32 Combine like terms: 32 + -32 = 0 0 + 15x = -35 + -32 15x = -35 + -32 Combine like terms: -35 + -32 = -67 15x = -67 Divide each side by '15'. x = -4.466666667 Simplifying x = -4.466666667
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