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Simplifying 1.5(10x + 7) = 2(4x + -11) Reorder the terms: 1.5(7 + 10x) = 2(4x + -11) (7 * 1.5 + 10x * 1.5) = 2(4x + -11) (10.5 + 15x) = 2(4x + -11) Reorder the terms: 10.5 + 15x = 2(-11 + 4x) 10.5 + 15x = (-11 * 2 + 4x * 2) 10.5 + 15x = (-22 + 8x) Solving 10.5 + 15x = -22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10.5 + 15x + -8x = -22 + 8x + -8x Combine like terms: 15x + -8x = 7x 10.5 + 7x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 10.5 + 7x = -22 + 0 10.5 + 7x = -22 Add '-10.5' to each side of the equation. 10.5 + -10.5 + 7x = -22 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 7x = -22 + -10.5 7x = -22 + -10.5 Combine like terms: -22 + -10.5 = -32.5 7x = -32.5 Divide each side by '7'. x = -4.642857143 Simplifying x = -4.642857143
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