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Simplifying 19 + -48 = 6(x + -1) + -5 Combine like terms: 19 + -48 = -29 -29 = 6(x + -1) + -5 Reorder the terms: -29 = 6(-1 + x) + -5 -29 = (-1 * 6 + x * 6) + -5 -29 = (-6 + 6x) + -5 Reorder the terms: -29 = -6 + -5 + 6x Combine like terms: -6 + -5 = -11 -29 = -11 + 6x Solving -29 = -11 + 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. -29 + -6x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -29 + -6x = -11 + 0 -29 + -6x = -11 Add '29' to each side of the equation. -29 + 29 + -6x = -11 + 29 Combine like terms: -29 + 29 = 0 0 + -6x = -11 + 29 -6x = -11 + 29 Combine like terms: -11 + 29 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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