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Simplifying 3x + -10 = 2 + -1(x + -4) Reorder the terms: -10 + 3x = 2 + -1(x + -4) Reorder the terms: -10 + 3x = 2 + -1(-4 + x) -10 + 3x = 2 + (-4 * -1 + x * -1) -10 + 3x = 2 + (4 + -1x) Combine like terms: 2 + 4 = 6 -10 + 3x = 6 + -1x Solving -10 + 3x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 3x + x = 6 + -1x + x Combine like terms: 3x + x = 4x -10 + 4x = 6 + -1x + x Combine like terms: -1x + x = 0 -10 + 4x = 6 + 0 -10 + 4x = 6 Add '10' to each side of the equation. -10 + 10 + 4x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 6 + 10 4x = 6 + 10 Combine like terms: 6 + 10 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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