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Simplifying 6(x + -5) + 3(x + -3) + (x + -4) = 4x + -1 Reorder the terms: 6(-5 + x) + 3(x + -3) + (x + -4) = 4x + -1 (-5 * 6 + x * 6) + 3(x + -3) + (x + -4) = 4x + -1 (-30 + 6x) + 3(x + -3) + (x + -4) = 4x + -1 Reorder the terms: -30 + 6x + 3(-3 + x) + (x + -4) = 4x + -1 -30 + 6x + (-3 * 3 + x * 3) + (x + -4) = 4x + -1 -30 + 6x + (-9 + 3x) + (x + -4) = 4x + -1 Reorder the terms: -30 + 6x + -9 + 3x + (-4 + x) = 4x + -1 Remove parenthesis around (-4 + x) -30 + 6x + -9 + 3x + -4 + x = 4x + -1 Reorder the terms: -30 + -9 + -4 + 6x + 3x + x = 4x + -1 Combine like terms: -30 + -9 = -39 -39 + -4 + 6x + 3x + x = 4x + -1 Combine like terms: -39 + -4 = -43 -43 + 6x + 3x + x = 4x + -1 Combine like terms: 6x + 3x = 9x -43 + 9x + x = 4x + -1 Combine like terms: 9x + x = 10x -43 + 10x = 4x + -1 Reorder the terms: -43 + 10x = -1 + 4x Solving -43 + 10x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -43 + 10x + -4x = -1 + 4x + -4x Combine like terms: 10x + -4x = 6x -43 + 6x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -43 + 6x = -1 + 0 -43 + 6x = -1 Add '43' to each side of the equation. -43 + 43 + 6x = -1 + 43 Combine like terms: -43 + 43 = 0 0 + 6x = -1 + 43 6x = -1 + 43 Combine like terms: -1 + 43 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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