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Simplifying -4(4x + -7) + 5x = 4(2x + -4) + 3x Reorder the terms: -4(-7 + 4x) + 5x = 4(2x + -4) + 3x (-7 * -4 + 4x * -4) + 5x = 4(2x + -4) + 3x (28 + -16x) + 5x = 4(2x + -4) + 3x Combine like terms: -16x + 5x = -11x 28 + -11x = 4(2x + -4) + 3x Reorder the terms: 28 + -11x = 4(-4 + 2x) + 3x 28 + -11x = (-4 * 4 + 2x * 4) + 3x 28 + -11x = (-16 + 8x) + 3x Combine like terms: 8x + 3x = 11x 28 + -11x = -16 + 11x Solving 28 + -11x = -16 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 28 + -11x + -11x = -16 + 11x + -11x Combine like terms: -11x + -11x = -22x 28 + -22x = -16 + 11x + -11x Combine like terms: 11x + -11x = 0 28 + -22x = -16 + 0 28 + -22x = -16 Add '-28' to each side of the equation. 28 + -28 + -22x = -16 + -28 Combine like terms: 28 + -28 = 0 0 + -22x = -16 + -28 -22x = -16 + -28 Combine like terms: -16 + -28 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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