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Simplifying 7x + 4(x + -4) = 10x + -4 Reorder the terms: 7x + 4(-4 + x) = 10x + -4 7x + (-4 * 4 + x * 4) = 10x + -4 7x + (-16 + 4x) = 10x + -4 Reorder the terms: -16 + 7x + 4x = 10x + -4 Combine like terms: 7x + 4x = 11x -16 + 11x = 10x + -4 Reorder the terms: -16 + 11x = -4 + 10x Solving -16 + 11x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -16 + 11x + -10x = -4 + 10x + -10x Combine like terms: 11x + -10x = 1x -16 + 1x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 -16 + 1x = -4 + 0 -16 + 1x = -4 Add '16' to each side of the equation. -16 + 16 + 1x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -4 + 16 1x = -4 + 16 Combine like terms: -4 + 16 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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