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Simplifying 5(2x + -1) + 2(3x + -1) + -3(x + 4) = 7 Reorder the terms: 5(-1 + 2x) + 2(3x + -1) + -3(x + 4) = 7 (-1 * 5 + 2x * 5) + 2(3x + -1) + -3(x + 4) = 7 (-5 + 10x) + 2(3x + -1) + -3(x + 4) = 7 Reorder the terms: -5 + 10x + 2(-1 + 3x) + -3(x + 4) = 7 -5 + 10x + (-1 * 2 + 3x * 2) + -3(x + 4) = 7 -5 + 10x + (-2 + 6x) + -3(x + 4) = 7 Reorder the terms: -5 + 10x + -2 + 6x + -3(4 + x) = 7 -5 + 10x + -2 + 6x + (4 * -3 + x * -3) = 7 -5 + 10x + -2 + 6x + (-12 + -3x) = 7 Reorder the terms: -5 + -2 + -12 + 10x + 6x + -3x = 7 Combine like terms: -5 + -2 = -7 -7 + -12 + 10x + 6x + -3x = 7 Combine like terms: -7 + -12 = -19 -19 + 10x + 6x + -3x = 7 Combine like terms: 10x + 6x = 16x -19 + 16x + -3x = 7 Combine like terms: 16x + -3x = 13x -19 + 13x = 7 Solving -19 + 13x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 13x = 7 + 19 Combine like terms: -19 + 19 = 0 0 + 13x = 7 + 19 13x = 7 + 19 Combine like terms: 7 + 19 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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