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Simplifying 4(-2x + 7) = 3(-5x + 4) Reorder the terms: 4(7 + -2x) = 3(-5x + 4) (7 * 4 + -2x * 4) = 3(-5x + 4) (28 + -8x) = 3(-5x + 4) Reorder the terms: 28 + -8x = 3(4 + -5x) 28 + -8x = (4 * 3 + -5x * 3) 28 + -8x = (12 + -15x) Solving 28 + -8x = 12 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 28 + -8x + 15x = 12 + -15x + 15x Combine like terms: -8x + 15x = 7x 28 + 7x = 12 + -15x + 15x Combine like terms: -15x + 15x = 0 28 + 7x = 12 + 0 28 + 7x = 12 Add '-28' to each side of the equation. 28 + -28 + 7x = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 7x = 12 + -28 7x = 12 + -28 Combine like terms: 12 + -28 = -16 7x = -16 Divide each side by '7'. x = -2.285714286 Simplifying x = -2.285714286
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