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Simplifying 2 + -1(4x + -19) = 6(x + -2) Reorder the terms: 2 + -1(-19 + 4x) = 6(x + -2) 2 + (-19 * -1 + 4x * -1) = 6(x + -2) 2 + (19 + -4x) = 6(x + -2) Combine like terms: 2 + 19 = 21 21 + -4x = 6(x + -2) Reorder the terms: 21 + -4x = 6(-2 + x) 21 + -4x = (-2 * 6 + x * 6) 21 + -4x = (-12 + 6x) Solving 21 + -4x = -12 + 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. 21 + -4x + -6x = -12 + 6x + -6x Combine like terms: -4x + -6x = -10x 21 + -10x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -10x = -12 + 0 21 + -10x = -12 Add '-21' to each side of the equation. 21 + -21 + -10x = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = -12 + -21 -10x = -12 + -21 Combine like terms: -12 + -21 = -33 -10x = -33 Divide each side by '-10'. x = 3.3 Simplifying x = 3.3
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