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Simplifying 4(2x + -5) + -7 = 2(3x + -2) Reorder the terms: 4(-5 + 2x) + -7 = 2(3x + -2) (-5 * 4 + 2x * 4) + -7 = 2(3x + -2) (-20 + 8x) + -7 = 2(3x + -2) Reorder the terms: -20 + -7 + 8x = 2(3x + -2) Combine like terms: -20 + -7 = -27 -27 + 8x = 2(3x + -2) Reorder the terms: -27 + 8x = 2(-2 + 3x) -27 + 8x = (-2 * 2 + 3x * 2) -27 + 8x = (-4 + 6x) Solving -27 + 8x = -4 + 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. -27 + 8x + -6x = -4 + 6x + -6x Combine like terms: 8x + -6x = 2x -27 + 2x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -27 + 2x = -4 + 0 -27 + 2x = -4 Add '27' to each side of the equation. -27 + 27 + 2x = -4 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = -4 + 27 2x = -4 + 27 Combine like terms: -4 + 27 = 23 2x = 23 Divide each side by '2'. x = 11.5 Simplifying x = 11.5
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