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Simplifying -10 = 3x + 8 + 4(x + -1) Reorder the terms: -10 = 3x + 8 + 4(-1 + x) -10 = 3x + 8 + (-1 * 4 + x * 4) -10 = 3x + 8 + (-4 + 4x) Reorder the terms: -10 = 8 + -4 + 3x + 4x Combine like terms: 8 + -4 = 4 -10 = 4 + 3x + 4x Combine like terms: 3x + 4x = 7x -10 = 4 + 7x Solving -10 = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + -7x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -7x = 4 + 0 -10 + -7x = 4 Add '10' to each side of the equation. -10 + 10 + -7x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = 4 + 10 -7x = 4 + 10 Combine like terms: 4 + 10 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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