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Simplifying -7 + 5(x + 4) = 2x + 4(x + -5) Reorder the terms: -7 + 5(4 + x) = 2x + 4(x + -5) -7 + (4 * 5 + x * 5) = 2x + 4(x + -5) -7 + (20 + 5x) = 2x + 4(x + -5) Combine like terms: -7 + 20 = 13 13 + 5x = 2x + 4(x + -5) Reorder the terms: 13 + 5x = 2x + 4(-5 + x) 13 + 5x = 2x + (-5 * 4 + x * 4) 13 + 5x = 2x + (-20 + 4x) Reorder the terms: 13 + 5x = -20 + 2x + 4x Combine like terms: 2x + 4x = 6x 13 + 5x = -20 + 6x Solving 13 + 5x = -20 + 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. 13 + 5x + -6x = -20 + 6x + -6x Combine like terms: 5x + -6x = -1x 13 + -1x = -20 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -1x = -20 + 0 13 + -1x = -20 Add '-13' to each side of the equation. 13 + -13 + -1x = -20 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = -20 + -13 -1x = -20 + -13 Combine like terms: -20 + -13 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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