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Simplifying -4(x + -3) + 2x = 8 + -7(x + -4) Reorder the terms: -4(-3 + x) + 2x = 8 + -7(x + -4) (-3 * -4 + x * -4) + 2x = 8 + -7(x + -4) (12 + -4x) + 2x = 8 + -7(x + -4) Combine like terms: -4x + 2x = -2x 12 + -2x = 8 + -7(x + -4) Reorder the terms: 12 + -2x = 8 + -7(-4 + x) 12 + -2x = 8 + (-4 * -7 + x * -7) 12 + -2x = 8 + (28 + -7x) Combine like terms: 8 + 28 = 36 12 + -2x = 36 + -7x Solving 12 + -2x = 36 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + -2x + 7x = 36 + -7x + 7x Combine like terms: -2x + 7x = 5x 12 + 5x = 36 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 5x = 36 + 0 12 + 5x = 36 Add '-12' to each side of the equation. 12 + -12 + 5x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 36 + -12 5x = 36 + -12 Combine like terms: 36 + -12 = 24 5x = 24 Divide each side by '5'. x = 4.8 Simplifying x = 4.8
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