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Simplifying 4(4x + -7) + -3 = 4(x + -3) + 41 Reorder the terms: 4(-7 + 4x) + -3 = 4(x + -3) + 41 (-7 * 4 + 4x * 4) + -3 = 4(x + -3) + 41 (-28 + 16x) + -3 = 4(x + -3) + 41 Reorder the terms: -28 + -3 + 16x = 4(x + -3) + 41 Combine like terms: -28 + -3 = -31 -31 + 16x = 4(x + -3) + 41 Reorder the terms: -31 + 16x = 4(-3 + x) + 41 -31 + 16x = (-3 * 4 + x * 4) + 41 -31 + 16x = (-12 + 4x) + 41 Reorder the terms: -31 + 16x = -12 + 41 + 4x Combine like terms: -12 + 41 = 29 -31 + 16x = 29 + 4x Solving -31 + 16x = 29 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -31 + 16x + -4x = 29 + 4x + -4x Combine like terms: 16x + -4x = 12x -31 + 12x = 29 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + 12x = 29 + 0 -31 + 12x = 29 Add '31' to each side of the equation. -31 + 31 + 12x = 29 + 31 Combine like terms: -31 + 31 = 0 0 + 12x = 29 + 31 12x = 29 + 31 Combine like terms: 29 + 31 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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