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Simplifying 6(x + -2) + 10(x + -3) + x = -8 Reorder the terms: 6(-2 + x) + 10(x + -3) + x = -8 (-2 * 6 + x * 6) + 10(x + -3) + x = -8 (-12 + 6x) + 10(x + -3) + x = -8 Reorder the terms: -12 + 6x + 10(-3 + x) + x = -8 -12 + 6x + (-3 * 10 + x * 10) + x = -8 -12 + 6x + (-30 + 10x) + x = -8 Reorder the terms: -12 + -30 + 6x + 10x + x = -8 Combine like terms: -12 + -30 = -42 -42 + 6x + 10x + x = -8 Combine like terms: 6x + 10x = 16x -42 + 16x + x = -8 Combine like terms: 16x + x = 17x -42 + 17x = -8 Solving -42 + 17x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 17x = -8 + 42 Combine like terms: -42 + 42 = 0 0 + 17x = -8 + 42 17x = -8 + 42 Combine like terms: -8 + 42 = 34 17x = 34 Divide each side by '17'. x = 2 Simplifying x = 2
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