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Simplifying 4(10x + -3) = 16(x + 2.7) Reorder the terms: 4(-3 + 10x) = 16(x + 2.7) (-3 * 4 + 10x * 4) = 16(x + 2.7) (-12 + 40x) = 16(x + 2.7) Reorder the terms: -12 + 40x = 16(2.7 + x) -12 + 40x = (2.7 * 16 + x * 16) -12 + 40x = (43.2 + 16x) Solving -12 + 40x = 43.2 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -12 + 40x + -16x = 43.2 + 16x + -16x Combine like terms: 40x + -16x = 24x -12 + 24x = 43.2 + 16x + -16x Combine like terms: 16x + -16x = 0 -12 + 24x = 43.2 + 0 -12 + 24x = 43.2 Add '12' to each side of the equation. -12 + 12 + 24x = 43.2 + 12 Combine like terms: -12 + 12 = 0 0 + 24x = 43.2 + 12 24x = 43.2 + 12 Combine like terms: 43.2 + 12 = 55.2 24x = 55.2 Divide each side by '24'. x = 2.3 Simplifying x = 2.3
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