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Simplifying 4x + -1(-6 + 2x) * 2 = x + -3 Reorder the terms for easier multiplication: 4x + -1 * 2(-6 + 2x) = x + -3 Multiply -1 * 2 4x + -2(-6 + 2x) = x + -3 4x + (-6 * -2 + 2x * -2) = x + -3 4x + (12 + -4x) = x + -3 Reorder the terms: 12 + 4x + -4x = x + -3 Combine like terms: 4x + -4x = 0 12 + 0 = x + -3 12 = x + -3 Reorder the terms: 12 = -3 + x Solving 12 = -3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -1x = -3 + x + -1x Combine like terms: x + -1x = 0 12 + -1x = -3 + 0 12 + -1x = -3 Add '-12' to each side of the equation. 12 + -12 + -1x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = -3 + -12 -1x = -3 + -12 Combine like terms: -3 + -12 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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