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Simplifying 5x + -3(2x + 1) + -4 = 6x + 3 + 4 Reorder the terms: 5x + -3(1 + 2x) + -4 = 6x + 3 + 4 5x + (1 * -3 + 2x * -3) + -4 = 6x + 3 + 4 5x + (-3 + -6x) + -4 = 6x + 3 + 4 Reorder the terms: -3 + -4 + 5x + -6x = 6x + 3 + 4 Combine like terms: -3 + -4 = -7 -7 + 5x + -6x = 6x + 3 + 4 Combine like terms: 5x + -6x = -1x -7 + -1x = 6x + 3 + 4 Reorder the terms: -7 + -1x = 3 + 4 + 6x Combine like terms: 3 + 4 = 7 -7 + -1x = 7 + 6x Solving -7 + -1x = 7 + 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. -7 + -1x + -6x = 7 + 6x + -6x Combine like terms: -1x + -6x = -7x -7 + -7x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -7x = 7 + 0 -7 + -7x = 7 Add '7' to each side of the equation. -7 + 7 + -7x = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = 7 + 7 -7x = 7 + 7 Combine like terms: 7 + 7 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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