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Simplifying 5x(4 + -2) + -3(x + -4) = x + 36 Combine like terms: 4 + -2 = 2 5x(2) + -3(x + -4) = x + 36 Reorder the terms for easier multiplication: 5 * 2x + -3(x + -4) = x + 36 Multiply 5 * 2 10x + -3(x + -4) = x + 36 Reorder the terms: 10x + -3(-4 + x) = x + 36 10x + (-4 * -3 + x * -3) = x + 36 10x + (12 + -3x) = x + 36 Reorder the terms: 12 + 10x + -3x = x + 36 Combine like terms: 10x + -3x = 7x 12 + 7x = x + 36 Reorder the terms: 12 + 7x = 36 + x Solving 12 + 7x = 36 + 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 + 7x + -1x = 36 + x + -1x Combine like terms: 7x + -1x = 6x 12 + 6x = 36 + x + -1x Combine like terms: x + -1x = 0 12 + 6x = 36 + 0 12 + 6x = 36 Add '-12' to each side of the equation. 12 + -12 + 6x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 36 + -12 6x = 36 + -12 Combine like terms: 36 + -12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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