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Simplifying 0.3(x + -8) + 7.2 = 5.6x + 9 + -1.35x Reorder the terms: 0.3(-8 + x) + 7.2 = 5.6x + 9 + -1.35x (-8 * 0.3 + x * 0.3) + 7.2 = 5.6x + 9 + -1.35x (-2.4 + 0.3x) + 7.2 = 5.6x + 9 + -1.35x Reorder the terms: -2.4 + 7.2 + 0.3x = 5.6x + 9 + -1.35x Combine like terms: -2.4 + 7.2 = 4.8 4.8 + 0.3x = 5.6x + 9 + -1.35x Reorder the terms: 4.8 + 0.3x = 9 + 5.6x + -1.35x Combine like terms: 5.6x + -1.35x = 4.25x 4.8 + 0.3x = 9 + 4.25x Solving 4.8 + 0.3x = 9 + 4.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.25x' to each side of the equation. 4.8 + 0.3x + -4.25x = 9 + 4.25x + -4.25x Combine like terms: 0.3x + -4.25x = -3.95x 4.8 + -3.95x = 9 + 4.25x + -4.25x Combine like terms: 4.25x + -4.25x = 0.00 4.8 + -3.95x = 9 + 0.00 4.8 + -3.95x = 9 Add '-4.8' to each side of the equation. 4.8 + -4.8 + -3.95x = 9 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -3.95x = 9 + -4.8 -3.95x = 9 + -4.8 Combine like terms: 9 + -4.8 = 4.2 -3.95x = 4.2 Divide each side by '-3.95'. x = -1.063291139 Simplifying x = -1.063291139
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