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Simplifying 7(-2x + -3) + 2 = -2(-8 + 3x) Reorder the terms: 7(-3 + -2x) + 2 = -2(-8 + 3x) (-3 * 7 + -2x * 7) + 2 = -2(-8 + 3x) (-21 + -14x) + 2 = -2(-8 + 3x) Reorder the terms: -21 + 2 + -14x = -2(-8 + 3x) Combine like terms: -21 + 2 = -19 -19 + -14x = -2(-8 + 3x) -19 + -14x = (-8 * -2 + 3x * -2) -19 + -14x = (16 + -6x) Solving -19 + -14x = 16 + -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. -19 + -14x + 6x = 16 + -6x + 6x Combine like terms: -14x + 6x = -8x -19 + -8x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -19 + -8x = 16 + 0 -19 + -8x = 16 Add '19' to each side of the equation. -19 + 19 + -8x = 16 + 19 Combine like terms: -19 + 19 = 0 0 + -8x = 16 + 19 -8x = 16 + 19 Combine like terms: 16 + 19 = 35 -8x = 35 Divide each side by '-8'. x = -4.375 Simplifying x = -4.375
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