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Simplifying 6(x + -7) + -4(x + 3) = -1 Reorder the terms: 6(-7 + x) + -4(x + 3) = -1 (-7 * 6 + x * 6) + -4(x + 3) = -1 (-42 + 6x) + -4(x + 3) = -1 Reorder the terms: -42 + 6x + -4(3 + x) = -1 -42 + 6x + (3 * -4 + x * -4) = -1 -42 + 6x + (-12 + -4x) = -1 Reorder the terms: -42 + -12 + 6x + -4x = -1 Combine like terms: -42 + -12 = -54 -54 + 6x + -4x = -1 Combine like terms: 6x + -4x = 2x -54 + 2x = -1 Solving -54 + 2x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 2x = -1 + 54 Combine like terms: -54 + 54 = 0 0 + 2x = -1 + 54 2x = -1 + 54 Combine like terms: -1 + 54 = 53 2x = 53 Divide each side by '2'. x = 26.5 Simplifying x = 26.5
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