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Simplifying 2(-3x + 7) + 8 = 4(x + -2) + -2x Reorder the terms: 2(7 + -3x) + 8 = 4(x + -2) + -2x (7 * 2 + -3x * 2) + 8 = 4(x + -2) + -2x (14 + -6x) + 8 = 4(x + -2) + -2x Reorder the terms: 14 + 8 + -6x = 4(x + -2) + -2x Combine like terms: 14 + 8 = 22 22 + -6x = 4(x + -2) + -2x Reorder the terms: 22 + -6x = 4(-2 + x) + -2x 22 + -6x = (-2 * 4 + x * 4) + -2x 22 + -6x = (-8 + 4x) + -2x Combine like terms: 4x + -2x = 2x 22 + -6x = -8 + 2x Solving 22 + -6x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 22 + -6x + -2x = -8 + 2x + -2x Combine like terms: -6x + -2x = -8x 22 + -8x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 22 + -8x = -8 + 0 22 + -8x = -8 Add '-22' to each side of the equation. 22 + -22 + -8x = -8 + -22 Combine like terms: 22 + -22 = 0 0 + -8x = -8 + -22 -8x = -8 + -22 Combine like terms: -8 + -22 = -30 -8x = -30 Divide each side by '-8'. x = 3.75 Simplifying x = 3.75
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