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Simplifying (4x + -6) * 2 + -4(4x + -6) + 3 = 0 Reorder the terms: (-6 + 4x) * 2 + -4(4x + -6) + 3 = 0 Reorder the terms for easier multiplication: 2(-6 + 4x) + -4(4x + -6) + 3 = 0 (-6 * 2 + 4x * 2) + -4(4x + -6) + 3 = 0 (-12 + 8x) + -4(4x + -6) + 3 = 0 Reorder the terms: -12 + 8x + -4(-6 + 4x) + 3 = 0 -12 + 8x + (-6 * -4 + 4x * -4) + 3 = 0 -12 + 8x + (24 + -16x) + 3 = 0 Reorder the terms: -12 + 24 + 3 + 8x + -16x = 0 Combine like terms: -12 + 24 = 12 12 + 3 + 8x + -16x = 0 Combine like terms: 12 + 3 = 15 15 + 8x + -16x = 0 Combine like terms: 8x + -16x = -8x 15 + -8x = 0 Solving 15 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -8x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 0 + -15 -8x = 0 + -15 Combine like terms: 0 + -15 = -15 -8x = -15 Divide each side by '-8'. x = 1.875 Simplifying x = 1.875
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