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Simplifying 2(2x + 6) + -1(3x + -4) = 4(2x + 6) Reorder the terms: 2(6 + 2x) + -1(3x + -4) = 4(2x + 6) (6 * 2 + 2x * 2) + -1(3x + -4) = 4(2x + 6) (12 + 4x) + -1(3x + -4) = 4(2x + 6) Reorder the terms: 12 + 4x + -1(-4 + 3x) = 4(2x + 6) 12 + 4x + (-4 * -1 + 3x * -1) = 4(2x + 6) 12 + 4x + (4 + -3x) = 4(2x + 6) Reorder the terms: 12 + 4 + 4x + -3x = 4(2x + 6) Combine like terms: 12 + 4 = 16 16 + 4x + -3x = 4(2x + 6) Combine like terms: 4x + -3x = 1x 16 + 1x = 4(2x + 6) Reorder the terms: 16 + 1x = 4(6 + 2x) 16 + 1x = (6 * 4 + 2x * 4) 16 + 1x = (24 + 8x) Solving 16 + 1x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 16 + 1x + -8x = 24 + 8x + -8x Combine like terms: 1x + -8x = -7x 16 + -7x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + -7x = 24 + 0 16 + -7x = 24 Add '-16' to each side of the equation. 16 + -16 + -7x = 24 + -16 Combine like terms: 16 + -16 = 0 0 + -7x = 24 + -16 -7x = 24 + -16 Combine like terms: 24 + -16 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143
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