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Simplifying 4(x + 1) + -5x = 12 + -1(6x + -7) Reorder the terms: 4(1 + x) + -5x = 12 + -1(6x + -7) (1 * 4 + x * 4) + -5x = 12 + -1(6x + -7) (4 + 4x) + -5x = 12 + -1(6x + -7) Combine like terms: 4x + -5x = -1x 4 + -1x = 12 + -1(6x + -7) Reorder the terms: 4 + -1x = 12 + -1(-7 + 6x) 4 + -1x = 12 + (-7 * -1 + 6x * -1) 4 + -1x = 12 + (7 + -6x) Combine like terms: 12 + 7 = 19 4 + -1x = 19 + -6x Solving 4 + -1x = 19 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + -1x + 6x = 19 + -6x + 6x Combine like terms: -1x + 6x = 5x 4 + 5x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 5x = 19 + 0 4 + 5x = 19 Add '-4' to each side of the equation. 4 + -4 + 5x = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 19 + -4 5x = 19 + -4 Combine like terms: 19 + -4 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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