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Simplifying 5x + -7(2x + -6) = 6x + 6 Reorder the terms: 5x + -7(-6 + 2x) = 6x + 6 5x + (-6 * -7 + 2x * -7) = 6x + 6 5x + (42 + -14x) = 6x + 6 Reorder the terms: 42 + 5x + -14x = 6x + 6 Combine like terms: 5x + -14x = -9x 42 + -9x = 6x + 6 Reorder the terms: 42 + -9x = 6 + 6x Solving 42 + -9x = 6 + 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. 42 + -9x + -6x = 6 + 6x + -6x Combine like terms: -9x + -6x = -15x 42 + -15x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 42 + -15x = 6 + 0 42 + -15x = 6 Add '-42' to each side of the equation. 42 + -42 + -15x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + -15x = 6 + -42 -15x = 6 + -42 Combine like terms: 6 + -42 = -36 -15x = -36 Divide each side by '-15'. x = 2.4 Simplifying x = 2.4
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