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Simplifying 4(x + -2) = 6 + -3(7 + -1x) Reorder the terms: 4(-2 + x) = 6 + -3(7 + -1x) (-2 * 4 + x * 4) = 6 + -3(7 + -1x) (-8 + 4x) = 6 + -3(7 + -1x) -8 + 4x = 6 + (7 * -3 + -1x * -3) -8 + 4x = 6 + (-21 + 3x) Combine like terms: 6 + -21 = -15 -8 + 4x = -15 + 3x Solving -8 + 4x = -15 + 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. -8 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x -8 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 1x = -15 + 0 -8 + 1x = -15 Add '8' to each side of the equation. -8 + 8 + 1x = -15 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -15 + 8 1x = -15 + 8 Combine like terms: -15 + 8 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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