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Simplifying 5x + -7(2x + 4) = 6x + -1 Reorder the terms: 5x + -7(4 + 2x) = 6x + -1 5x + (4 * -7 + 2x * -7) = 6x + -1 5x + (-28 + -14x) = 6x + -1 Reorder the terms: -28 + 5x + -14x = 6x + -1 Combine like terms: 5x + -14x = -9x -28 + -9x = 6x + -1 Reorder the terms: -28 + -9x = -1 + 6x Solving -28 + -9x = -1 + 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. -28 + -9x + -6x = -1 + 6x + -6x Combine like terms: -9x + -6x = -15x -28 + -15x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + -15x = -1 + 0 -28 + -15x = -1 Add '28' to each side of the equation. -28 + 28 + -15x = -1 + 28 Combine like terms: -28 + 28 = 0 0 + -15x = -1 + 28 -15x = -1 + 28 Combine like terms: -1 + 28 = 27 -15x = 27 Divide each side by '-15'. x = -1.8 Simplifying x = -1.8
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