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Simplifying 4(x + 1) = 6 + -21(1 + 2x) Reorder the terms: 4(1 + x) = 6 + -21(1 + 2x) (1 * 4 + x * 4) = 6 + -21(1 + 2x) (4 + 4x) = 6 + -21(1 + 2x) 4 + 4x = 6 + (1 * -21 + 2x * -21) 4 + 4x = 6 + (-21 + -42x) Combine like terms: 6 + -21 = -15 4 + 4x = -15 + -42x Solving 4 + 4x = -15 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. 4 + 4x + 42x = -15 + -42x + 42x Combine like terms: 4x + 42x = 46x 4 + 46x = -15 + -42x + 42x Combine like terms: -42x + 42x = 0 4 + 46x = -15 + 0 4 + 46x = -15 Add '-4' to each side of the equation. 4 + -4 + 46x = -15 + -4 Combine like terms: 4 + -4 = 0 0 + 46x = -15 + -4 46x = -15 + -4 Combine like terms: -15 + -4 = -19 46x = -19 Divide each side by '46'. x = -0.4130434783 Simplifying x = -0.4130434783
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