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Simplifying -0.3(2x + -5) = 0.7(6x) Reorder the terms: -0.3(-5 + 2x) = 0.7(6x) (-5 * -0.3 + 2x * -0.3) = 0.7(6x) (1.5 + -0.6x) = 0.7(6x) Remove parenthesis around (6x) 1.5 + -0.6x = 0.7 * 6x Multiply 0.7 * 6 1.5 + -0.6x = 4.2x Solving 1.5 + -0.6x = 4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2x' to each side of the equation. 1.5 + -0.6x + -4.2x = 4.2x + -4.2x Combine like terms: -0.6x + -4.2x = -4.8x 1.5 + -4.8x = 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 1.5 + -4.8x = 0.0 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -4.8x = 0.0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -4.8x = 0.0 + -1.5 -4.8x = 0.0 + -1.5 Combine like terms: 0.0 + -1.5 = -1.5 -4.8x = -1.5 Divide each side by '-4.8'. x = 0.3125 Simplifying x = 0.3125
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