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Simplifying 6x + 7 + -2x = 3x + -4(-1x + 7) Reorder the terms: 7 + 6x + -2x = 3x + -4(-1x + 7) Combine like terms: 6x + -2x = 4x 7 + 4x = 3x + -4(-1x + 7) Reorder the terms: 7 + 4x = 3x + -4(7 + -1x) 7 + 4x = 3x + (7 * -4 + -1x * -4) 7 + 4x = 3x + (-28 + 4x) Reorder the terms: 7 + 4x = -28 + 3x + 4x Combine like terms: 3x + 4x = 7x 7 + 4x = -28 + 7x Solving 7 + 4x = -28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + 4x + -7x = -28 + 7x + -7x Combine like terms: 4x + -7x = -3x 7 + -3x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -3x = -28 + 0 7 + -3x = -28 Add '-7' to each side of the equation. 7 + -7 + -3x = -28 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -28 + -7 -3x = -28 + -7 Combine like terms: -28 + -7 = -35 -3x = -35 Divide each side by '-3'. x = 11.66666667 Simplifying x = 11.66666667
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