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Simplifying 5.16(2x + -0.5) + -1.5 = 12.16x + -1(-2x + -3) Reorder the terms: 5.16(-0.5 + 2x) + -1.5 = 12.16x + -1(-2x + -3) (-0.5 * 5.16 + 2x * 5.16) + -1.5 = 12.16x + -1(-2x + -3) (-2.58 + 10.32x) + -1.5 = 12.16x + -1(-2x + -3) Reorder the terms: -2.58 + -1.5 + 10.32x = 12.16x + -1(-2x + -3) Combine like terms: -2.58 + -1.5 = -4.08 -4.08 + 10.32x = 12.16x + -1(-2x + -3) Reorder the terms: -4.08 + 10.32x = 12.16x + -1(-3 + -2x) -4.08 + 10.32x = 12.16x + (-3 * -1 + -2x * -1) -4.08 + 10.32x = 12.16x + (3 + 2x) Reorder the terms: -4.08 + 10.32x = 3 + 12.16x + 2x Combine like terms: 12.16x + 2x = 14.16x -4.08 + 10.32x = 3 + 14.16x Solving -4.08 + 10.32x = 3 + 14.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.16x' to each side of the equation. -4.08 + 10.32x + -14.16x = 3 + 14.16x + -14.16x Combine like terms: 10.32x + -14.16x = -3.84x -4.08 + -3.84x = 3 + 14.16x + -14.16x Combine like terms: 14.16x + -14.16x = 0.00 -4.08 + -3.84x = 3 + 0.00 -4.08 + -3.84x = 3 Add '4.08' to each side of the equation. -4.08 + 4.08 + -3.84x = 3 + 4.08 Combine like terms: -4.08 + 4.08 = 0.00 0.00 + -3.84x = 3 + 4.08 -3.84x = 3 + 4.08 Combine like terms: 3 + 4.08 = 7.08 -3.84x = 7.08 Divide each side by '-3.84'. x = -1.84375 Simplifying x = -1.84375
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