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Simplifying 0.02(x + -25.5) + 0.03 = -0.02(x + -16) Reorder the terms: 0.02(-25.5 + x) + 0.03 = -0.02(x + -16) (-25.5 * 0.02 + x * 0.02) + 0.03 = -0.02(x + -16) (-0.51 + 0.02x) + 0.03 = -0.02(x + -16) Reorder the terms: -0.51 + 0.03 + 0.02x = -0.02(x + -16) Combine like terms: -0.51 + 0.03 = -0.48 -0.48 + 0.02x = -0.02(x + -16) Reorder the terms: -0.48 + 0.02x = -0.02(-16 + x) -0.48 + 0.02x = (-16 * -0.02 + x * -0.02) -0.48 + 0.02x = (0.32 + -0.02x) Solving -0.48 + 0.02x = 0.32 + -0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.02x' to each side of the equation. -0.48 + 0.02x + 0.02x = 0.32 + -0.02x + 0.02x Combine like terms: 0.02x + 0.02x = 0.04x -0.48 + 0.04x = 0.32 + -0.02x + 0.02x Combine like terms: -0.02x + 0.02x = 0.00 -0.48 + 0.04x = 0.32 + 0.00 -0.48 + 0.04x = 0.32 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.04x = 0.32 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.04x = 0.32 + 0.48 0.04x = 0.32 + 0.48 Combine like terms: 0.32 + 0.48 = 0.8 0.04x = 0.8 Divide each side by '0.04'. x = 20 Simplifying x = 20
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