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Simplifying 3 + -4(x + -2) + -4 = -3x + -3 + -6 Reorder the terms: 3 + -4(-2 + x) + -4 = -3x + -3 + -6 3 + (-2 * -4 + x * -4) + -4 = -3x + -3 + -6 3 + (8 + -4x) + -4 = -3x + -3 + -6 Reorder the terms: 3 + 8 + -4 + -4x = -3x + -3 + -6 Combine like terms: 3 + 8 = 11 11 + -4 + -4x = -3x + -3 + -6 Combine like terms: 11 + -4 = 7 7 + -4x = -3x + -3 + -6 Reorder the terms: 7 + -4x = -3 + -6 + -3x Combine like terms: -3 + -6 = -9 7 + -4x = -9 + -3x Solving 7 + -4x = -9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 7 + -4x + 3x = -9 + -3x + 3x Combine like terms: -4x + 3x = -1x 7 + -1x = -9 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + -1x = -9 + 0 7 + -1x = -9 Add '-7' to each side of the equation. 7 + -7 + -1x = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -9 + -7 -1x = -9 + -7 Combine like terms: -9 + -7 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16
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