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Simplifying 4(x + 3x + -12) = 3(x + 4) Reorder the terms: 4(-12 + x + 3x) = 3(x + 4) Combine like terms: x + 3x = 4x 4(-12 + 4x) = 3(x + 4) (-12 * 4 + 4x * 4) = 3(x + 4) (-48 + 16x) = 3(x + 4) Reorder the terms: -48 + 16x = 3(4 + x) -48 + 16x = (4 * 3 + x * 3) -48 + 16x = (12 + 3x) Solving -48 + 16x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -48 + 16x + -3x = 12 + 3x + -3x Combine like terms: 16x + -3x = 13x -48 + 13x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -48 + 13x = 12 + 0 -48 + 13x = 12 Add '48' to each side of the equation. -48 + 48 + 13x = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 13x = 12 + 48 13x = 12 + 48 Combine like terms: 12 + 48 = 60 13x = 60 Divide each side by '13'. x = 4.615384615 Simplifying x = 4.615384615
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