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Simplifying 5(0.2x + 7) + -4(1.2x + 3) = 0 Reorder the terms: 5(7 + 0.2x) + -4(1.2x + 3) = 0 (7 * 5 + 0.2x * 5) + -4(1.2x + 3) = 0 (35 + 1x) + -4(1.2x + 3) = 0 Reorder the terms: 35 + 1x + -4(3 + 1.2x) = 0 35 + 1x + (3 * -4 + 1.2x * -4) = 0 35 + 1x + (-12 + -4.8x) = 0 Reorder the terms: 35 + -12 + 1x + -4.8x = 0 Combine like terms: 35 + -12 = 23 23 + 1x + -4.8x = 0 Combine like terms: 1x + -4.8x = -3.8x 23 + -3.8x = 0 Solving 23 + -3.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -3.8x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -3.8x = 0 + -23 -3.8x = 0 + -23 Combine like terms: 0 + -23 = -23 -3.8x = -23 Divide each side by '-3.8'. x = 6.052631579 Simplifying x = 6.052631579
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