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Simplifying 6x + 48 = 9(x + 7) Reorder the terms: 48 + 6x = 9(x + 7) Reorder the terms: 48 + 6x = 9(7 + x) 48 + 6x = (7 * 9 + x * 9) 48 + 6x = (63 + 9x) Solving 48 + 6x = 63 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 48 + 6x + -9x = 63 + 9x + -9x Combine like terms: 6x + -9x = -3x 48 + -3x = 63 + 9x + -9x Combine like terms: 9x + -9x = 0 48 + -3x = 63 + 0 48 + -3x = 63 Add '-48' to each side of the equation. 48 + -48 + -3x = 63 + -48 Combine like terms: 48 + -48 = 0 0 + -3x = 63 + -48 -3x = 63 + -48 Combine like terms: 63 + -48 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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