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Simplifying 4(2x + -3) + -10x + 9 = 7 Reorder the terms: 4(-3 + 2x) + -10x + 9 = 7 (-3 * 4 + 2x * 4) + -10x + 9 = 7 (-12 + 8x) + -10x + 9 = 7 Reorder the terms: -12 + 9 + 8x + -10x = 7 Combine like terms: -12 + 9 = -3 -3 + 8x + -10x = 7 Combine like terms: 8x + -10x = -2x -3 + -2x = 7 Solving -3 + -2x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 7 + 3 -2x = 7 + 3 Combine like terms: 7 + 3 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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