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Simplifying 14 + -46 = 4(x + -4) + -4 Combine like terms: 14 + -46 = -32 -32 = 4(x + -4) + -4 Reorder the terms: -32 = 4(-4 + x) + -4 -32 = (-4 * 4 + x * 4) + -4 -32 = (-16 + 4x) + -4 Reorder the terms: -32 = -16 + -4 + 4x Combine like terms: -16 + -4 = -20 -32 = -20 + 4x Solving -32 = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -32 + -4x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + -4x = -20 + 0 -32 + -4x = -20 Add '32' to each side of the equation. -32 + 32 + -4x = -20 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -20 + 32 -4x = -20 + 32 Combine like terms: -20 + 32 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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