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Simplifying 0.14(x + -7) + 0.04x = 0.02x + -0.9 Reorder the terms: 0.14(-7 + x) + 0.04x = 0.02x + -0.9 (-7 * 0.14 + x * 0.14) + 0.04x = 0.02x + -0.9 (-0.98 + 0.14x) + 0.04x = 0.02x + -0.9 Combine like terms: 0.14x + 0.04x = 0.18x -0.98 + 0.18x = 0.02x + -0.9 Reorder the terms: -0.98 + 0.18x = -0.9 + 0.02x Solving -0.98 + 0.18x = -0.9 + 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. -0.98 + 0.18x + -0.02x = -0.9 + 0.02x + -0.02x Combine like terms: 0.18x + -0.02x = 0.16x -0.98 + 0.16x = -0.9 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.98 + 0.16x = -0.9 + 0.00 -0.98 + 0.16x = -0.9 Add '0.98' to each side of the equation. -0.98 + 0.98 + 0.16x = -0.9 + 0.98 Combine like terms: -0.98 + 0.98 = 0.00 0.00 + 0.16x = -0.9 + 0.98 0.16x = -0.9 + 0.98 Combine like terms: -0.9 + 0.98 = 0.08 0.16x = 0.08 Divide each side by '0.16'. x = 0.5 Simplifying x = 0.5
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