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Simplifying -3(4x + -4) + 5x = 2 + 2(4x + -1) Reorder the terms: -3(-4 + 4x) + 5x = 2 + 2(4x + -1) (-4 * -3 + 4x * -3) + 5x = 2 + 2(4x + -1) (12 + -12x) + 5x = 2 + 2(4x + -1) Combine like terms: -12x + 5x = -7x 12 + -7x = 2 + 2(4x + -1) Reorder the terms: 12 + -7x = 2 + 2(-1 + 4x) 12 + -7x = 2 + (-1 * 2 + 4x * 2) 12 + -7x = 2 + (-2 + 8x) Combine like terms: 2 + -2 = 0 12 + -7x = 0 + 8x 12 + -7x = 8x Solving 12 + -7x = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + -7x + -8x = 8x + -8x Combine like terms: -7x + -8x = -15x 12 + -15x = 8x + -8x Combine like terms: 8x + -8x = 0 12 + -15x = 0 Add '-12' to each side of the equation. 12 + -12 + -15x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = 0 + -12 -15x = 0 + -12 Combine like terms: 0 + -12 = -12 -15x = -12 Divide each side by '-15'. x = 0.8 Simplifying x = 0.8
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