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Simplifying 1 + 4(x + -4) = 3 + -2(x + -3) Reorder the terms: 1 + 4(-4 + x) = 3 + -2(x + -3) 1 + (-4 * 4 + x * 4) = 3 + -2(x + -3) 1 + (-16 + 4x) = 3 + -2(x + -3) Combine like terms: 1 + -16 = -15 -15 + 4x = 3 + -2(x + -3) Reorder the terms: -15 + 4x = 3 + -2(-3 + x) -15 + 4x = 3 + (-3 * -2 + x * -2) -15 + 4x = 3 + (6 + -2x) Combine like terms: 3 + 6 = 9 -15 + 4x = 9 + -2x Solving -15 + 4x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 4x + 2x = 9 + -2x + 2x Combine like terms: 4x + 2x = 6x -15 + 6x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 6x = 9 + 0 -15 + 6x = 9 Add '15' to each side of the equation. -15 + 15 + 6x = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = 9 + 15 6x = 9 + 15 Combine like terms: 9 + 15 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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