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Simplifying 6(x + -4) + -7(3x) = 12 + -3(4 + -1x) + 2 Reorder the terms: 6(-4 + x) + -7(3x) = 12 + -3(4 + -1x) + 2 (-4 * 6 + x * 6) + -7(3x) = 12 + -3(4 + -1x) + 2 (-24 + 6x) + -7(3x) = 12 + -3(4 + -1x) + 2 Remove parenthesis around (3x) -24 + 6x + -7 * 3x = 12 + -3(4 + -1x) + 2 Multiply -7 * 3 -24 + 6x + -21x = 12 + -3(4 + -1x) + 2 Combine like terms: 6x + -21x = -15x -24 + -15x = 12 + -3(4 + -1x) + 2 -24 + -15x = 12 + (4 * -3 + -1x * -3) + 2 -24 + -15x = 12 + (-12 + 3x) + 2 Reorder the terms: -24 + -15x = 12 + -12 + 2 + 3x Combine like terms: 12 + -12 = 0 -24 + -15x = 0 + 2 + 3x -24 + -15x = 2 + 3x Solving -24 + -15x = 2 + 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. -24 + -15x + -3x = 2 + 3x + -3x Combine like terms: -15x + -3x = -18x -24 + -18x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -18x = 2 + 0 -24 + -18x = 2 Add '24' to each side of the equation. -24 + 24 + -18x = 2 + 24 Combine like terms: -24 + 24 = 0 0 + -18x = 2 + 24 -18x = 2 + 24 Combine like terms: 2 + 24 = 26 -18x = 26 Divide each side by '-18'. x = -1.444444444 Simplifying x = -1.444444444
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