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Simplifying 3x + 10 = -4(x + 1) Reorder the terms: 10 + 3x = -4(x + 1) Reorder the terms: 10 + 3x = -4(1 + x) 10 + 3x = (1 * -4 + x * -4) 10 + 3x = (-4 + -4x) Solving 10 + 3x = -4 + -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. 10 + 3x + 4x = -4 + -4x + 4x Combine like terms: 3x + 4x = 7x 10 + 7x = -4 + -4x + 4x Combine like terms: -4x + 4x = 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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