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Simplifying 4x + -15(6 + -1x) = 8(5 + -3x) 4x + (6 * -15 + -1x * -15) = 8(5 + -3x) 4x + (-90 + 15x) = 8(5 + -3x) Reorder the terms: -90 + 4x + 15x = 8(5 + -3x) Combine like terms: 4x + 15x = 19x -90 + 19x = 8(5 + -3x) -90 + 19x = (5 * 8 + -3x * 8) -90 + 19x = (40 + -24x) Solving -90 + 19x = 40 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -90 + 19x + 24x = 40 + -24x + 24x Combine like terms: 19x + 24x = 43x -90 + 43x = 40 + -24x + 24x Combine like terms: -24x + 24x = 0 -90 + 43x = 40 + 0 -90 + 43x = 40 Add '90' to each side of the equation. -90 + 90 + 43x = 40 + 90 Combine like terms: -90 + 90 = 0 0 + 43x = 40 + 90 43x = 40 + 90 Combine like terms: 40 + 90 = 130 43x = 130 Divide each side by '43'. x = 3.023255814 Simplifying x = 3.023255814
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