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Simplifying 4x + -12 = 46 + -3(x + -4) Reorder the terms: -12 + 4x = 46 + -3(x + -4) Reorder the terms: -12 + 4x = 46 + -3(-4 + x) -12 + 4x = 46 + (-4 * -3 + x * -3) -12 + 4x = 46 + (12 + -3x) Combine like terms: 46 + 12 = 58 -12 + 4x = 58 + -3x Solving -12 + 4x = 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. -12 + 4x + 3x = 58 + -3x + 3x Combine like terms: 4x + 3x = 7x -12 + 7x = 58 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 7x = 58 + 0 -12 + 7x = 58 Add '12' to each side of the equation. -12 + 12 + 7x = 58 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 58 + 12 7x = 58 + 12 Combine like terms: 58 + 12 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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