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Simplifying 2(x + -21) + 4(x + -4) = 44 Reorder the terms: 2(-21 + x) + 4(x + -4) = 44 (-21 * 2 + x * 2) + 4(x + -4) = 44 (-42 + 2x) + 4(x + -4) = 44 Reorder the terms: -42 + 2x + 4(-4 + x) = 44 -42 + 2x + (-4 * 4 + x * 4) = 44 -42 + 2x + (-16 + 4x) = 44 Reorder the terms: -42 + -16 + 2x + 4x = 44 Combine like terms: -42 + -16 = -58 -58 + 2x + 4x = 44 Combine like terms: 2x + 4x = 6x -58 + 6x = 44 Solving -58 + 6x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 6x = 44 + 58 Combine like terms: -58 + 58 = 0 0 + 6x = 44 + 58 6x = 44 + 58 Combine like terms: 44 + 58 = 102 6x = 102 Divide each side by '6'. x = 17 Simplifying x = 17
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