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Simplifying -2x + -4(4 + -3x) = 3(x + -4) + -46 -2x + (4 * -4 + -3x * -4) = 3(x + -4) + -46 -2x + (-16 + 12x) = 3(x + -4) + -46 Reorder the terms: -16 + -2x + 12x = 3(x + -4) + -46 Combine like terms: -2x + 12x = 10x -16 + 10x = 3(x + -4) + -46 Reorder the terms: -16 + 10x = 3(-4 + x) + -46 -16 + 10x = (-4 * 3 + x * 3) + -46 -16 + 10x = (-12 + 3x) + -46 Reorder the terms: -16 + 10x = -12 + -46 + 3x Combine like terms: -12 + -46 = -58 -16 + 10x = -58 + 3x Solving -16 + 10x = -58 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -16 + 10x + -3x = -58 + 3x + -3x Combine like terms: 10x + -3x = 7x -16 + 7x = -58 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 7x = -58 + 0 -16 + 7x = -58 Add '16' to each side of the equation. -16 + 16 + 7x = -58 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = -58 + 16 7x = -58 + 16 Combine like terms: -58 + 16 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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