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Simplifying 6 + (x + 4) = 5 + -1(4x + 7) Reorder the terms: 6 + (4 + x) = 5 + -1(4x + 7) Remove parenthesis around (4 + x) 6 + 4 + x = 5 + -1(4x + 7) Combine like terms: 6 + 4 = 10 10 + x = 5 + -1(4x + 7) Reorder the terms: 10 + x = 5 + -1(7 + 4x) 10 + x = 5 + (7 * -1 + 4x * -1) 10 + x = 5 + (-7 + -4x) Combine like terms: 5 + -7 = -2 10 + x = -2 + -4x Solving 10 + x = -2 + -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 + x + 4x = -2 + -4x + 4x Combine like terms: x + 4x = 5x 10 + 5x = -2 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 5x = -2 + 0 10 + 5x = -2 Add '-10' to each side of the equation. 10 + -10 + 5x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -2 + -10 5x = -2 + -10 Combine like terms: -2 + -10 = -12 5x = -12 Divide each side by '5'. x = -2.4 Simplifying x = -2.4
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