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Simplifying 6x + -10 = 5(x + -4) + -2(3x + 1) Reorder the terms: -10 + 6x = 5(x + -4) + -2(3x + 1) Reorder the terms: -10 + 6x = 5(-4 + x) + -2(3x + 1) -10 + 6x = (-4 * 5 + x * 5) + -2(3x + 1) -10 + 6x = (-20 + 5x) + -2(3x + 1) Reorder the terms: -10 + 6x = -20 + 5x + -2(1 + 3x) -10 + 6x = -20 + 5x + (1 * -2 + 3x * -2) -10 + 6x = -20 + 5x + (-2 + -6x) Reorder the terms: -10 + 6x = -20 + -2 + 5x + -6x Combine like terms: -20 + -2 = -22 -10 + 6x = -22 + 5x + -6x Combine like terms: 5x + -6x = -1x -10 + 6x = -22 + -1x Solving -10 + 6x = -22 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 6x + x = -22 + -1x + x Combine like terms: 6x + x = 7x -10 + 7x = -22 + -1x + x Combine like terms: -1x + x = 0 -10 + 7x = -22 + 0 -10 + 7x = -22 Add '10' to each side of the equation. -10 + 10 + 7x = -22 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = -22 + 10 7x = -22 + 10 Combine like terms: -22 + 10 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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