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Simplifying 7x + -1(x + -4) = 3(x + -6) + 3 Reorder the terms: 7x + -1(-4 + x) = 3(x + -6) + 3 7x + (-4 * -1 + x * -1) = 3(x + -6) + 3 7x + (4 + -1x) = 3(x + -6) + 3 Reorder the terms: 4 + 7x + -1x = 3(x + -6) + 3 Combine like terms: 7x + -1x = 6x 4 + 6x = 3(x + -6) + 3 Reorder the terms: 4 + 6x = 3(-6 + x) + 3 4 + 6x = (-6 * 3 + x * 3) + 3 4 + 6x = (-18 + 3x) + 3 Reorder the terms: 4 + 6x = -18 + 3 + 3x Combine like terms: -18 + 3 = -15 4 + 6x = -15 + 3x Solving 4 + 6x = -15 + 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. 4 + 6x + -3x = -15 + 3x + -3x Combine like terms: 6x + -3x = 3x 4 + 3x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 3x = -15 + 0 4 + 3x = -15 Add '-4' to each side of the equation. 4 + -4 + 3x = -15 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = -15 + -4 3x = -15 + -4 Combine like terms: -15 + -4 = -19 3x = -19 Divide each side by '3'. x = -6.333333333 Simplifying x = -6.333333333
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