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Simplifying 3 + 5x + -7 + -9x + 10 + 4(2x + -3) = 12 + -15 Reorder the terms: 3 + 5x + -7 + -9x + 10 + 4(-3 + 2x) = 12 + -15 3 + 5x + -7 + -9x + 10 + (-3 * 4 + 2x * 4) = 12 + -15 3 + 5x + -7 + -9x + 10 + (-12 + 8x) = 12 + -15 Reorder the terms: 3 + -7 + 10 + -12 + 5x + -9x + 8x = 12 + -15 Combine like terms: 3 + -7 = -4 -4 + 10 + -12 + 5x + -9x + 8x = 12 + -15 Combine like terms: -4 + 10 = 6 6 + -12 + 5x + -9x + 8x = 12 + -15 Combine like terms: 6 + -12 = -6 -6 + 5x + -9x + 8x = 12 + -15 Combine like terms: 5x + -9x = -4x -6 + -4x + 8x = 12 + -15 Combine like terms: -4x + 8x = 4x -6 + 4x = 12 + -15 Combine like terms: 12 + -15 = -3 -6 + 4x = -3 Solving -6 + 4x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -3 + 6 4x = -3 + 6 Combine like terms: -3 + 6 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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