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Simplifying 8x + 6x = 8(-3X + 3) + -2(5x + -2) Combine like terms: 8x + 6x = 14x 14x = 8(-3X + 3) + -2(5x + -2) Reorder the terms: 14x = 8(3 + -3X) + -2(5x + -2) 14x = (3 * 8 + -3X * 8) + -2(5x + -2) 14x = (24 + -24X) + -2(5x + -2) Reorder the terms: 14x = 24 + -24X + -2(-2 + 5x) 14x = 24 + -24X + (-2 * -2 + 5x * -2) 14x = 24 + -24X + (4 + -10x) Reorder the terms: 14x = 24 + 4 + -24X + -10x Combine like terms: 24 + 4 = 28 14x = 28 + -24X + -10x Solving 14x = 28 + -24X + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 14x + 10x = 28 + -24X + -10x + 10x Combine like terms: 14x + 10x = 24x 24x = 28 + -24X + -10x + 10x Combine like terms: -10x + 10x = 0 24x = 28 + -24X + 0 24x = 28 + -24X Divide each side by '24'. x = 1.166666667 + -1X Simplifying x = 1.166666667 + -1X
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