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Simplifying 2(3.4x) + -5(2x + 3) = x + -17 Remove parenthesis around (3.4x) 2 * 3.4x + -5(2x + 3) = x + -17 Multiply 2 * 3.4 6.8x + -5(2x + 3) = x + -17 Reorder the terms: 6.8x + -5(3 + 2x) = x + -17 6.8x + (3 * -5 + 2x * -5) = x + -17 6.8x + (-15 + -10x) = x + -17 Reorder the terms: -15 + 6.8x + -10x = x + -17 Combine like terms: 6.8x + -10x = -3.2x -15 + -3.2x = x + -17 Reorder the terms: -15 + -3.2x = -17 + x Solving -15 + -3.2x = -17 + 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. -15 + -3.2x + -1x = -17 + x + -1x Combine like terms: -3.2x + -1x = -4.2x -15 + -4.2x = -17 + x + -1x Combine like terms: x + -1x = 0 -15 + -4.2x = -17 + 0 -15 + -4.2x = -17 Add '15' to each side of the equation. -15 + 15 + -4.2x = -17 + 15 Combine like terms: -15 + 15 = 0 0 + -4.2x = -17 + 15 -4.2x = -17 + 15 Combine like terms: -17 + 15 = -2 -4.2x = -2 Divide each side by '-4.2'. x = 0.4761904762 Simplifying x = 0.4761904762
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