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Simplifying 8(6x + -4) = 4(6x + -10) + 40 Reorder the terms: 8(-4 + 6x) = 4(6x + -10) + 40 (-4 * 8 + 6x * 8) = 4(6x + -10) + 40 (-32 + 48x) = 4(6x + -10) + 40 Reorder the terms: -32 + 48x = 4(-10 + 6x) + 40 -32 + 48x = (-10 * 4 + 6x * 4) + 40 -32 + 48x = (-40 + 24x) + 40 Reorder the terms: -32 + 48x = -40 + 40 + 24x Combine like terms: -40 + 40 = 0 -32 + 48x = 0 + 24x -32 + 48x = 24x Solving -32 + 48x = 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. -32 + 48x + -24x = 24x + -24x Combine like terms: 48x + -24x = 24x -32 + 24x = 24x + -24x Combine like terms: 24x + -24x = 0 -32 + 24x = 0 Add '32' to each side of the equation. -32 + 32 + 24x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 24x = 0 + 32 24x = 0 + 32 Combine like terms: 0 + 32 = 32 24x = 32 Divide each side by '24'. x = 1.333333333 Simplifying x = 1.333333333
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