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Simplifying 4[4x + -3(x + 4)] = 3 + x + -1(x + -3) Reorder the terms: 4[4x + -3(4 + x)] = 3 + x + -1(x + -3) 4[4x + (4 * -3 + x * -3)] = 3 + x + -1(x + -3) 4[4x + (-12 + -3x)] = 3 + x + -1(x + -3) Reorder the terms: 4[-12 + 4x + -3x] = 3 + x + -1(x + -3) Combine like terms: 4x + -3x = 1x 4[-12 + 1x] = 3 + x + -1(x + -3) [-12 * 4 + 1x * 4] = 3 + x + -1(x + -3) [-48 + 4x] = 3 + x + -1(x + -3) Reorder the terms: -48 + 4x = 3 + x + -1(-3 + x) -48 + 4x = 3 + x + (-3 * -1 + x * -1) -48 + 4x = 3 + x + (3 + -1x) Reorder the terms: -48 + 4x = 3 + 3 + x + -1x Combine like terms: 3 + 3 = 6 -48 + 4x = 6 + x + -1x Combine like terms: x + -1x = 0 -48 + 4x = 6 + 0 -48 + 4x = 6 Solving -48 + 4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 4x = 6 + 48 Combine like terms: -48 + 48 = 0 0 + 4x = 6 + 48 4x = 6 + 48 Combine like terms: 6 + 48 = 54 4x = 54 Divide each side by '4'. x = 13.5 Simplifying x = 13.5
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