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Simplifying -4(3x + 5) + 10(x + -3) + -7 = 0 Reorder the terms: -4(5 + 3x) + 10(x + -3) + -7 = 0 (5 * -4 + 3x * -4) + 10(x + -3) + -7 = 0 (-20 + -12x) + 10(x + -3) + -7 = 0 Reorder the terms: -20 + -12x + 10(-3 + x) + -7 = 0 -20 + -12x + (-3 * 10 + x * 10) + -7 = 0 -20 + -12x + (-30 + 10x) + -7 = 0 Reorder the terms: -20 + -30 + -7 + -12x + 10x = 0 Combine like terms: -20 + -30 = -50 -50 + -7 + -12x + 10x = 0 Combine like terms: -50 + -7 = -57 -57 + -12x + 10x = 0 Combine like terms: -12x + 10x = -2x -57 + -2x = 0 Solving -57 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57' to each side of the equation. -57 + 57 + -2x = 0 + 57 Combine like terms: -57 + 57 = 0 0 + -2x = 0 + 57 -2x = 0 + 57 Combine like terms: 0 + 57 = 57 -2x = 57 Divide each side by '-2'. x = -28.5 Simplifying x = -28.5
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