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Simplifying -3(4x + 5) + 2(x + -7) + 1 = 0 Reorder the terms: -3(5 + 4x) + 2(x + -7) + 1 = 0 (5 * -3 + 4x * -3) + 2(x + -7) + 1 = 0 (-15 + -12x) + 2(x + -7) + 1 = 0 Reorder the terms: -15 + -12x + 2(-7 + x) + 1 = 0 -15 + -12x + (-7 * 2 + x * 2) + 1 = 0 -15 + -12x + (-14 + 2x) + 1 = 0 Reorder the terms: -15 + -14 + 1 + -12x + 2x = 0 Combine like terms: -15 + -14 = -29 -29 + 1 + -12x + 2x = 0 Combine like terms: -29 + 1 = -28 -28 + -12x + 2x = 0 Combine like terms: -12x + 2x = -10x -28 + -10x = 0 Solving -28 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -10x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -10x = 0 + 28 -10x = 0 + 28 Combine like terms: 0 + 28 = 28 -10x = 28 Divide each side by '-10'. x = -2.8 Simplifying x = -2.8
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