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Simplifying 5x + -1(1414 + -1x) = -30 + -2x 5x + (1414 * -1 + -1x * -1) = -30 + -2x 5x + (-1414 + 1x) = -30 + -2x Reorder the terms: -1414 + 5x + 1x = -30 + -2x Combine like terms: 5x + 1x = 6x -1414 + 6x = -30 + -2x Solving -1414 + 6x = -30 + -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. -1414 + 6x + 2x = -30 + -2x + 2x Combine like terms: 6x + 2x = 8x -1414 + 8x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 -1414 + 8x = -30 + 0 -1414 + 8x = -30 Add '1414' to each side of the equation. -1414 + 1414 + 8x = -30 + 1414 Combine like terms: -1414 + 1414 = 0 0 + 8x = -30 + 1414 8x = -30 + 1414 Combine like terms: -30 + 1414 = 1384 8x = 1384 Divide each side by '8'. x = 173 Simplifying x = 173
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