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Simplifying 6(4x + 3) + -2 = -0.50(6x + -10) + 11 Reorder the terms: 6(3 + 4x) + -2 = -0.50(6x + -10) + 11 (3 * 6 + 4x * 6) + -2 = -0.50(6x + -10) + 11 (18 + 24x) + -2 = -0.50(6x + -10) + 11 Reorder the terms: 18 + -2 + 24x = -0.50(6x + -10) + 11 Combine like terms: 18 + -2 = 16 16 + 24x = -0.50(6x + -10) + 11 Reorder the terms: 16 + 24x = -0.50(-10 + 6x) + 11 16 + 24x = (-10 * -0.50 + 6x * -0.50) + 11 16 + 24x = (5 + -3x) + 11 Reorder the terms: 16 + 24x = 5 + 11 + -3x Combine like terms: 5 + 11 = 16 16 + 24x = 16 + -3x Add '-16' to each side of the equation. 16 + -16 + 24x = 16 + -16 + -3x Combine like terms: 16 + -16 = 0 0 + 24x = 16 + -16 + -3x 24x = 16 + -16 + -3x Combine like terms: 16 + -16 = 0 24x = 0 + -3x 24x = -3x Solving 24x = -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. 24x + 3x = -3x + 3x Combine like terms: 24x + 3x = 27x 27x = -3x + 3x Combine like terms: -3x + 3x = 0 27x = 0 Divide each side by '27'. x = 0 Simplifying x = 0
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