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Simplifying 4(4x + -3) + 2 = 3 + -5(5 + -2x) Reorder the terms: 4(-3 + 4x) + 2 = 3 + -5(5 + -2x) (-3 * 4 + 4x * 4) + 2 = 3 + -5(5 + -2x) (-12 + 16x) + 2 = 3 + -5(5 + -2x) Reorder the terms: -12 + 2 + 16x = 3 + -5(5 + -2x) Combine like terms: -12 + 2 = -10 -10 + 16x = 3 + -5(5 + -2x) -10 + 16x = 3 + (5 * -5 + -2x * -5) -10 + 16x = 3 + (-25 + 10x) Combine like terms: 3 + -25 = -22 -10 + 16x = -22 + 10x Solving -10 + 16x = -22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -10 + 16x + -10x = -22 + 10x + -10x Combine like terms: 16x + -10x = 6x -10 + 6x = -22 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + 6x = -22 + 0 -10 + 6x = -22 Add '10' to each side of the equation. -10 + 10 + 6x = -22 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = -22 + 10 6x = -22 + 10 Combine like terms: -22 + 10 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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