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Simplifying -9(x + -7) = 6x + 48 Reorder the terms: -9(-7 + x) = 6x + 48 (-7 * -9 + x * -9) = 6x + 48 (63 + -9x) = 6x + 48 Reorder the terms: 63 + -9x = 48 + 6x Solving 63 + -9x = 48 + 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. 63 + -9x + -6x = 48 + 6x + -6x Combine like terms: -9x + -6x = -15x 63 + -15x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 63 + -15x = 48 + 0 63 + -15x = 48 Add '-63' to each side of the equation. 63 + -63 + -15x = 48 + -63 Combine like terms: 63 + -63 = 0 0 + -15x = 48 + -63 -15x = 48 + -63 Combine like terms: 48 + -63 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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