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Simplifying 4 + 2(x + -7) = 11 + -4(x + -2) Reorder the terms: 4 + 2(-7 + x) = 11 + -4(x + -2) 4 + (-7 * 2 + x * 2) = 11 + -4(x + -2) 4 + (-14 + 2x) = 11 + -4(x + -2) Combine like terms: 4 + -14 = -10 -10 + 2x = 11 + -4(x + -2) Reorder the terms: -10 + 2x = 11 + -4(-2 + x) -10 + 2x = 11 + (-2 * -4 + x * -4) -10 + 2x = 11 + (8 + -4x) Combine like terms: 11 + 8 = 19 -10 + 2x = 19 + -4x Solving -10 + 2x = 19 + -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 + 2x + 4x = 19 + -4x + 4x Combine like terms: 2x + 4x = 6x -10 + 6x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 6x = 19 + 0 -10 + 6x = 19 Add '10' to each side of the equation. -10 + 10 + 6x = 19 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 19 + 10 6x = 19 + 10 Combine like terms: 19 + 10 = 29 6x = 29 Divide each side by '6'. x = 4.833333333 Simplifying x = 4.833333333
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