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Simplifying 2(7x + -4) + -4(2x + -6) = 3x + 3 Reorder the terms: 2(-4 + 7x) + -4(2x + -6) = 3x + 3 (-4 * 2 + 7x * 2) + -4(2x + -6) = 3x + 3 (-8 + 14x) + -4(2x + -6) = 3x + 3 Reorder the terms: -8 + 14x + -4(-6 + 2x) = 3x + 3 -8 + 14x + (-6 * -4 + 2x * -4) = 3x + 3 -8 + 14x + (24 + -8x) = 3x + 3 Reorder the terms: -8 + 24 + 14x + -8x = 3x + 3 Combine like terms: -8 + 24 = 16 16 + 14x + -8x = 3x + 3 Combine like terms: 14x + -8x = 6x 16 + 6x = 3x + 3 Reorder the terms: 16 + 6x = 3 + 3x Solving 16 + 6x = 3 + 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. 16 + 6x + -3x = 3 + 3x + -3x Combine like terms: 6x + -3x = 3x 16 + 3x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 16 + 3x = 3 + 0 16 + 3x = 3 Add '-16' to each side of the equation. 16 + -16 + 3x = 3 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 3 + -16 3x = 3 + -16 Combine like terms: 3 + -16 = -13 3x = -13 Divide each side by '3'. x = -4.333333333 Simplifying x = -4.333333333
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