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Simplifying -21 + -47 = 3(x + -2) + -5 Combine like terms: -21 + -47 = -68 -68 = 3(x + -2) + -5 Reorder the terms: -68 = 3(-2 + x) + -5 -68 = (-2 * 3 + x * 3) + -5 -68 = (-6 + 3x) + -5 Reorder the terms: -68 = -6 + -5 + 3x Combine like terms: -6 + -5 = -11 -68 = -11 + 3x Solving -68 = -11 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -68 + -3x = -11 + 3x + -3x Combine like terms: 3x + -3x = 0 -68 + -3x = -11 + 0 -68 + -3x = -11 Add '68' to each side of the equation. -68 + 68 + -3x = -11 + 68 Combine like terms: -68 + 68 = 0 0 + -3x = -11 + 68 -3x = -11 + 68 Combine like terms: -11 + 68 = 57 -3x = 57 Divide each side by '-3'. x = -19 Simplifying x = -19
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