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