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Simplifying 2(3x + -1) + -4(x + -3) = x + 3 Reorder the terms: 2(-1 + 3x) + -4(x + -3) = x + 3 (-1 * 2 + 3x * 2) + -4(x + -3) = x + 3 (-2 + 6x) + -4(x + -3) = x + 3 Reorder the terms: -2 + 6x + -4(-3 + x) = x + 3 -2 + 6x + (-3 * -4 + x * -4) = x + 3 -2 + 6x + (12 + -4x) = x + 3 Reorder the terms: -2 + 12 + 6x + -4x = x + 3 Combine like terms: -2 + 12 = 10 10 + 6x + -4x = x + 3 Combine like terms: 6x + -4x = 2x 10 + 2x = x + 3 Reorder the terms: 10 + 2x = 3 + x Solving 10 + 2x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 10 + 2x + -1x = 3 + x + -1x Combine like terms: 2x + -1x = 1x 10 + 1x = 3 + x + -1x Combine like terms: x + -1x = 0 10 + 1x = 3 + 0 10 + 1x = 3 Add '-10' to each side of the equation. 10 + -10 + 1x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 3 + -10 1x = 3 + -10 Combine like terms: 3 + -10 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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