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Simplifying -10x + -2(6 + 3x) = x + -46 -10x + (6 * -2 + 3x * -2) = x + -46 -10x + (-12 + -6x) = x + -46 Reorder the terms: -12 + -10x + -6x = x + -46 Combine like terms: -10x + -6x = -16x -12 + -16x = x + -46 Reorder the terms: -12 + -16x = -46 + x Solving -12 + -16x = -46 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + -16x + -1x = -46 + x + -1x Combine like terms: -16x + -1x = -17x -12 + -17x = -46 + x + -1x Combine like terms: x + -1x = 0 -12 + -17x = -46 + 0 -12 + -17x = -46 Add '12' to each side of the equation. -12 + 12 + -17x = -46 + 12 Combine like terms: -12 + 12 = 0 0 + -17x = -46 + 12 -17x = -46 + 12 Combine like terms: -46 + 12 = -34 -17x = -34 Divide each side by '-17'. x = 2 Simplifying x = 2
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