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Simplifying (14x + -4)(-3) + 15x + -2 = 3x + 5 + -6x Reorder the terms: (-4 + 14x)(-3) + 15x + -2 = 3x + 5 + -6x Reorder the terms for easier multiplication: -3(-4 + 14x) + 15x + -2 = 3x + 5 + -6x (-4 * -3 + 14x * -3) + 15x + -2 = 3x + 5 + -6x (12 + -42x) + 15x + -2 = 3x + 5 + -6x Reorder the terms: 12 + -2 + -42x + 15x = 3x + 5 + -6x Combine like terms: 12 + -2 = 10 10 + -42x + 15x = 3x + 5 + -6x Combine like terms: -42x + 15x = -27x 10 + -27x = 3x + 5 + -6x Reorder the terms: 10 + -27x = 5 + 3x + -6x Combine like terms: 3x + -6x = -3x 10 + -27x = 5 + -3x Solving 10 + -27x = 5 + -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. 10 + -27x + 3x = 5 + -3x + 3x Combine like terms: -27x + 3x = -24x 10 + -24x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -24x = 5 + 0 10 + -24x = 5 Add '-10' to each side of the equation. 10 + -10 + -24x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -24x = 5 + -10 -24x = 5 + -10 Combine like terms: 5 + -10 = -5 -24x = -5 Divide each side by '-24'. x = 0.2083333333 Simplifying x = 0.2083333333
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