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Simplifying 0.16(x + -7) + 0.08x = 0.14x + -0.03(70) Reorder the terms: 0.16(-7 + x) + 0.08x = 0.14x + -0.03(70) (-7 * 0.16 + x * 0.16) + 0.08x = 0.14x + -0.03(70) (-1.12 + 0.16x) + 0.08x = 0.14x + -0.03(70) Combine like terms: 0.16x + 0.08x = 0.24x -1.12 + 0.24x = 0.14x + -0.03(70) Multiply -0.03 * 70 -1.12 + 0.24x = 0.14x + -2.1 Reorder the terms: -1.12 + 0.24x = -2.1 + 0.14x Solving -1.12 + 0.24x = -2.1 + 0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.14x' to each side of the equation. -1.12 + 0.24x + -0.14x = -2.1 + 0.14x + -0.14x Combine like terms: 0.24x + -0.14x = 0.1x -1.12 + 0.1x = -2.1 + 0.14x + -0.14x Combine like terms: 0.14x + -0.14x = 0.00 -1.12 + 0.1x = -2.1 + 0.00 -1.12 + 0.1x = -2.1 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.1x = -2.1 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.1x = -2.1 + 1.12 0.1x = -2.1 + 1.12 Combine like terms: -2.1 + 1.12 = -0.98 0.1x = -0.98 Divide each side by '0.1'. x = -9.8 Simplifying x = -9.8
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