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Simplifying 4(x + -3) + -5(x + 7) = 12x + 4 Reorder the terms: 4(-3 + x) + -5(x + 7) = 12x + 4 (-3 * 4 + x * 4) + -5(x + 7) = 12x + 4 (-12 + 4x) + -5(x + 7) = 12x + 4 Reorder the terms: -12 + 4x + -5(7 + x) = 12x + 4 -12 + 4x + (7 * -5 + x * -5) = 12x + 4 -12 + 4x + (-35 + -5x) = 12x + 4 Reorder the terms: -12 + -35 + 4x + -5x = 12x + 4 Combine like terms: -12 + -35 = -47 -47 + 4x + -5x = 12x + 4 Combine like terms: 4x + -5x = -1x -47 + -1x = 12x + 4 Reorder the terms: -47 + -1x = 4 + 12x Solving -47 + -1x = 4 + 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. -47 + -1x + -12x = 4 + 12x + -12x Combine like terms: -1x + -12x = -13x -47 + -13x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -47 + -13x = 4 + 0 -47 + -13x = 4 Add '47' to each side of the equation. -47 + 47 + -13x = 4 + 47 Combine like terms: -47 + 47 = 0 0 + -13x = 4 + 47 -13x = 4 + 47 Combine like terms: 4 + 47 = 51 -13x = 51 Divide each side by '-13'. x = -3.923076923 Simplifying x = -3.923076923
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