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Simplifying 7x + -3(5x + -12) = 6x + 1 Reorder the terms: 7x + -3(-12 + 5x) = 6x + 1 7x + (-12 * -3 + 5x * -3) = 6x + 1 7x + (36 + -15x) = 6x + 1 Reorder the terms: 36 + 7x + -15x = 6x + 1 Combine like terms: 7x + -15x = -8x 36 + -8x = 6x + 1 Reorder the terms: 36 + -8x = 1 + 6x Solving 36 + -8x = 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. 36 + -8x + -6x = 1 + 6x + -6x Combine like terms: -8x + -6x = -14x 36 + -14x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -14x = 1 + 0 36 + -14x = 1 Add '-36' to each side of the equation. 36 + -36 + -14x = 1 + -36 Combine like terms: 36 + -36 = 0 0 + -14x = 1 + -36 -14x = 1 + -36 Combine like terms: 1 + -36 = -35 -14x = -35 Divide each side by '-14'. x = 2.5 Simplifying x = 2.5
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