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Simplifying 3x + -5x + 6 = 4(-1x + 6) Reorder the terms: 6 + 3x + -5x = 4(-1x + 6) Combine like terms: 3x + -5x = -2x 6 + -2x = 4(-1x + 6) Reorder the terms: 6 + -2x = 4(6 + -1x) 6 + -2x = (6 * 4 + -1x * 4) 6 + -2x = (24 + -4x) Solving 6 + -2x = 24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 6 + -2x + 4x = 24 + -4x + 4x Combine like terms: -2x + 4x = 2x 6 + 2x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 2x = 24 + 0 6 + 2x = 24 Add '-6' to each side of the equation. 6 + -6 + 2x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 24 + -6 2x = 24 + -6 Combine like terms: 24 + -6 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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