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Simplifying 3(x + -4) + -1(6x + 3) = 3(4x + 1) Reorder the terms: 3(-4 + x) + -1(6x + 3) = 3(4x + 1) (-4 * 3 + x * 3) + -1(6x + 3) = 3(4x + 1) (-12 + 3x) + -1(6x + 3) = 3(4x + 1) Reorder the terms: -12 + 3x + -1(3 + 6x) = 3(4x + 1) -12 + 3x + (3 * -1 + 6x * -1) = 3(4x + 1) -12 + 3x + (-3 + -6x) = 3(4x + 1) Reorder the terms: -12 + -3 + 3x + -6x = 3(4x + 1) Combine like terms: -12 + -3 = -15 -15 + 3x + -6x = 3(4x + 1) Combine like terms: 3x + -6x = -3x -15 + -3x = 3(4x + 1) Reorder the terms: -15 + -3x = 3(1 + 4x) -15 + -3x = (1 * 3 + 4x * 3) -15 + -3x = (3 + 12x) Solving -15 + -3x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -15 + -3x + -12x = 3 + 12x + -12x Combine like terms: -3x + -12x = -15x -15 + -15x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -15x = 3 + 0 -15 + -15x = 3 Add '15' to each side of the equation. -15 + 15 + -15x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -15x = 3 + 15 -15x = 3 + 15 Combine like terms: 3 + 15 = 18 -15x = 18 Divide each side by '-15'. x = -1.2 Simplifying x = -1.2
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