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Simplifying 4(2x + -3) + 10 = 3(x + -6) + -12 Reorder the terms: 4(-3 + 2x) + 10 = 3(x + -6) + -12 (-3 * 4 + 2x * 4) + 10 = 3(x + -6) + -12 (-12 + 8x) + 10 = 3(x + -6) + -12 Reorder the terms: -12 + 10 + 8x = 3(x + -6) + -12 Combine like terms: -12 + 10 = -2 -2 + 8x = 3(x + -6) + -12 Reorder the terms: -2 + 8x = 3(-6 + x) + -12 -2 + 8x = (-6 * 3 + x * 3) + -12 -2 + 8x = (-18 + 3x) + -12 Reorder the terms: -2 + 8x = -18 + -12 + 3x Combine like terms: -18 + -12 = -30 -2 + 8x = -30 + 3x Solving -2 + 8x = -30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 8x + -3x = -30 + 3x + -3x Combine like terms: 8x + -3x = 5x -2 + 5x = -30 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 5x = -30 + 0 -2 + 5x = -30 Add '2' to each side of the equation. -2 + 2 + 5x = -30 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = -30 + 2 5x = -30 + 2 Combine like terms: -30 + 2 = -28 5x = -28 Divide each side by '5'. x = -5.6 Simplifying x = -5.6
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