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Simplifying 5x + 7(-6 + -1x) = 4(x + 3) 5x + (-6 * 7 + -1x * 7) = 4(x + 3) 5x + (-42 + -7x) = 4(x + 3) Reorder the terms: -42 + 5x + -7x = 4(x + 3) Combine like terms: 5x + -7x = -2x -42 + -2x = 4(x + 3) Reorder the terms: -42 + -2x = 4(3 + x) -42 + -2x = (3 * 4 + x * 4) -42 + -2x = (12 + 4x) Solving -42 + -2x = 12 + 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. -42 + -2x + -4x = 12 + 4x + -4x Combine like terms: -2x + -4x = -6x -42 + -6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + -6x = 12 + 0 -42 + -6x = 12 Add '42' to each side of the equation. -42 + 42 + -6x = 12 + 42 Combine like terms: -42 + 42 = 0 0 + -6x = 12 + 42 -6x = 12 + 42 Combine like terms: 12 + 42 = 54 -6x = 54 Divide each side by '-6'. x = -9 Simplifying x = -9
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