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Simplifying -3(5x + -2) + -6 = -3(8x + 6) + -4 Reorder the terms: -3(-2 + 5x) + -6 = -3(8x + 6) + -4 (-2 * -3 + 5x * -3) + -6 = -3(8x + 6) + -4 (6 + -15x) + -6 = -3(8x + 6) + -4 Reorder the terms: 6 + -6 + -15x = -3(8x + 6) + -4 Combine like terms: 6 + -6 = 0 0 + -15x = -3(8x + 6) + -4 -15x = -3(8x + 6) + -4 Reorder the terms: -15x = -3(6 + 8x) + -4 -15x = (6 * -3 + 8x * -3) + -4 -15x = (-18 + -24x) + -4 Reorder the terms: -15x = -18 + -4 + -24x Combine like terms: -18 + -4 = -22 -15x = -22 + -24x Solving -15x = -22 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -15x + 24x = -22 + -24x + 24x Combine like terms: -15x + 24x = 9x 9x = -22 + -24x + 24x Combine like terms: -24x + 24x = 0 9x = -22 + 0 9x = -22 Divide each side by '9'. x = -2.444444444 Simplifying x = -2.444444444
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