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Simplifying 4(6x + 2) = -3(4x + -3) + -19 Reorder the terms: 4(2 + 6x) = -3(4x + -3) + -19 (2 * 4 + 6x * 4) = -3(4x + -3) + -19 (8 + 24x) = -3(4x + -3) + -19 Reorder the terms: 8 + 24x = -3(-3 + 4x) + -19 8 + 24x = (-3 * -3 + 4x * -3) + -19 8 + 24x = (9 + -12x) + -19 Reorder the terms: 8 + 24x = 9 + -19 + -12x Combine like terms: 9 + -19 = -10 8 + 24x = -10 + -12x Solving 8 + 24x = -10 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + 24x + 12x = -10 + -12x + 12x Combine like terms: 24x + 12x = 36x 8 + 36x = -10 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 36x = -10 + 0 8 + 36x = -10 Add '-8' to each side of the equation. 8 + -8 + 36x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 36x = -10 + -8 36x = -10 + -8 Combine like terms: -10 + -8 = -18 36x = -18 Divide each side by '36'. x = -0.5 Simplifying x = -0.5
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